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A245062
Array read by upward antidiagonals: Niven (or Harshad) numbers arranged in rows by their digit sums.
22
1, 2, 10, 3, 20, 100, 4, 12, 110, 1000, 5, 40, 21, 200, 10000, 6, 50, 112, 30, 1010, 100000, 7, 24, 140, 220, 102, 1100, 1000000, 8, 70, 42, 230, 400, 111, 2000, 10000000, 9, 80, 133, 60, 320, 1012, 120, 10010, 100000000, 190, 18, 152, 322, 114, 410, 1120, 201, 10100, 1000000000
OFFSET
1,2
COMMENTS
The n-th row contains in increasing order all multiples of n with digit sum n.
See A005349 for definitions and references.
LINKS
Eric Weisstein's World of Mathematics, Harshad Number.
EXAMPLE
Array begins as:
1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000
2 20 110 200 1010 1100 2000 10010 10100 11000
3 12 21 30 102 111 120 201 210 300
4 40 112 220 400 1012 1120 1300 2020 2200
5 50 140 230 320 410 500 1040 1130 1220
6 24 42 60 114 132 150 204 222 240
7 70 133 322 511 700 1015 1141 1204 1330
8 80 152 224 440 512 800 1016 1160 1232
9 18 27 36 45 54 63 72 81 90
190 280 370 460 550 640 730 820 910 1090
CROSSREFS
Cf. A002998 (column 1), A245065 (column 2).
Cf. A011557 (row 1), A069537 (row 2), A052217 (row 3), A063997 (row 4), A069540 (row 5), A062768 (row 6), A063416 (row 7), A069543 (row 8), A052223 (row 9).
Cf. A082260 (main diagonal).
Cf. A007953, A005349 (Niven or Harshad numbers).
Cf. A082259.
Sequence in context: A390926 A176577 A247476 * A120862 A153273 A276486
KEYWORD
nonn,base,tabl
AUTHOR
L. Edson Jeffery, Jul 10 2014
STATUS
approved