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A004803
Numbers that are the sum of 3 nonzero 10th powers.
30
3, 1026, 2049, 3072, 59051, 60074, 61097, 118099, 119122, 177147, 1048578, 1049601, 1050624, 1107626, 1108649, 1166674, 2097153, 2098176, 2156201, 3145728, 9765627, 9766650, 9767673, 9824675, 9825698, 9883723, 10814202, 10815225, 10873250
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OFFSET
1,1
COMMENTS
As the order of addition doesn't matter we can assume terms are in nondecreasing order. -
David A. Corneth
, Aug 01 2020
LINKS
David A. Corneth,
Table of n, a(n) for n = 1..10000
(first 1000 terms from T. D. Noe)
EXAMPLE
From
David A. Corneth
, Aug 01 2020: (Start)
17258390288153 is in the sequence as 17258390288153 = 14^10 + 14^10 + 21^10.
42930989049225 is in the sequence as 42930989049225 = 19^10 + 20^10 + 22^10.
323760702520401 is in the sequence as 323760702520401 = 23^10 + 26^10 + 26^10. (End)
MATHEMATICA
kmax = 9*10^15; (* max term *)
m = kmax^(1/10) // Ceiling;
Table[k = x^10 + y^10 + z^10; If[k <= kmax, k, Nothing], {x, 1, m}, {y, x, m}, {z, y, m}] // Flatten // Union (*
Jean-François Alcover
, Jul 19 2017, updated May 02 2023 *)
CROSSREFS
A###### (x, y): Numbers that are the form of x nonzero y-th powers.
Cf.
A000404
(2, 2),
A000408
(3, 2),
A000414
(4, 2),
A003072
(3, 3),
A003325
(3, 2),
A003327
(4, 3),
A003328
(5, 3),
A003329
(6, 3),
A003330
(7, 3),
A003331
(8, 3),
A003332
(9, 3),
A003333
(10, 3),
A003334
(11, 3),
A003335
(12, 3),
A003336
(2, 4),
A003337
(3, 4),
A003338
(4, 4),
A003339
(5, 4),
A003340
(6, 4),
A003341
(7, 4),
A003342
(8, 4),
A003343
(9, 4),
A003344
(10, 4),
A003345
(11, 4),
A003346
(12, 4),
A003347
(2, 5),
A003348
(3, 5),
A003349
(4, 5),
A003350
(5, 5),
A003351
(6, 5),
A003352
(7, 5),
A003353
(8, 5),
A003354
(9, 5),
A003355
(10, 5),
A003356
(11, 5),
A003357
(12, 5),
A003358
(2, 6),
A003359
(3, 6),
A003360
(4, 6),
A003361
(5, 6),
A003362
(6, 6),
A003363
(7, 6),
A003364
(8, 6),
A003365
(9, 6),
A003366
(10, 6),
A003367
(11, 6),
A003368
(12, 6),
A003369
(2, 7),
A003370
(3, 7),
A003371
(4, 7),
A003372
(5, 7),
A003373
(6, 7),
A003374
(7, 7),
A003375
(8, 7),
A003376
(9, 7),
A003377
(10, 7),
A003378
(11, 7),
A003379
(12, 7),
A003380
(2, 8),
A003381
(3, 8),
A003382
(4, 8),
A003383
(5, 8),
A003384
(6, 8),
A003385
(7, 8),
A003387
(9, 8),
A003388
(10, 8),
A003389
(11, 8),
A003390
(12, 8),
A003391
(2, 9),
A003392
(3, 9),
A003393
(4, 9),
A003394
(5, 9),
A003395
(6, 9),
A003396
(7, 9),
A003397
(8, 9),
A003398
(9, 9),
A003399
(10, 9),
A004800
(11, 9),
A004801
(12, 9),
A004802
(2, 10),
A004803
(3, 10),
A004804
(4, 10),
A004805
(5, 10),
A004806
(6, 10),
A004807
(7, 10),
A004808
(8, 10),
A004809
(9, 10),
A004810
(10, 10),
A004811
(11, 10),
A004812
(12, 10),
A004813
(2, 11),
A004814
(3, 11),
A004815
(4, 11),
A004816
(5, 11),
A004817
(6, 11),
A004818
(7, 11),
A004819
(8, 11),
A004820
(9, 11),
A004821
(10, 11),
A004822
(11, 11),
A004823
(12, 11),
A047700
(5, 2).
Sequence in context:
A024046
A152505
A139301
*
A065604
A062612
A096082
Adjacent sequences:
A004800
A004801
A004802
*
A004804
A004805
A004806
KEYWORD
nonn
,
easy
AUTHOR
N. J. A. Sloane
EXTENSIONS
Removed incorrect program. -
David A. Corneth
, Aug 01 2020
STATUS
approved