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A374498
Square array read by antidiagonals: row n lists n-gonal pyramidal numbers that are products of smaller n-gonal pyramidal numbers.
7
1, 36, 1, 45, 560, 1, 210, 19600, 4900, 1, 300, 43680, 513590, 56448, 1, 378, 45760, 333833500, 127008, 4750, 1, 630, 893200, 711410700, 259200, 1926049000, 58372180608, 1
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OFFSET
2,2
COMMENTS
If there are only finitely many solutions for a certain value of n, the rest of that row is filled with 0's.
The first term in each row is 1, because 1 is an n-gonal pyramidal number for every n and it equals the empty product.
LINKS
Table of n, a(n) for n=2..29.
EXAMPLE
Array begins:
n\k| 1 2 3 4
---+--------------------------------
2 | 1 36 45 210
3 | 1 560 19600 43680
4 | 1 4900 513590 333833500
5 | 1 56448 127008 259200
6 | 1 4750 1926049000 655578709500
CROSSREFS
Cf.
A080851
,
A374370
,
A374499
(second column).
Rows:
A068143
(n=2 except the first term),
A364151
(n=3),
A374500
(n=4),
A374501
(n=5),
A374502
(n=6).
Sequence in context:
A156645
A330084
A350385
*
A371259
A037935
A159824
Adjacent sequences:
A374495
A374496
A374497
*
A374499
A374500
A374501
KEYWORD
nonn
,
tabl
,
more
AUTHOR
Pontus von Brömssen
, Jul 09 2024
STATUS
approved