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 A216789 Table read by antidiagonals: T(n,b) is the digital sum of n in base b displayed in decimal. 1
 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 3, 2, 2, 0, 1, 2, 3, 1, 3, 2, 0, 1, 2, 3, 4, 2, 2, 3, 0, 1, 2, 3, 4, 1, 3, 3, 1, 0, 1, 2, 3, 4, 5, 2, 4, 4, 2, 0, 1, 2, 3, 4, 5, 1, 3, 2, 1, 2, 0, 1, 2, 3, 4, 5, 6, 2, 4, 3, 2, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 COMMENTS A000120   0, 1, 1, 2, 1, 2, 2, 3, 1, 2,  2,  3,  2,  3,  3,  4, 1, 2, 2 A053735   0, 1, 2, 1, 2, 3, 2, 3, 4, 1,  2,  3,  2,  3,  4,  3, 4, 5, 2 A053737   0, 1, 2, 3, 1, 2, 3, 4, 2, 3,  4,  5,  3,  4,  5,  6, 1, 2, 3 A053824   0, 1, 2, 3, 4, 1, 2, 3, 4, 5,  2,  3,  4,  5,  6,  3, 4, 5, 6 A053827   0, 1, 2, 3, 4, 5, 1, 2, 3, 4,  5,  6,  2,  3,  4,  5, 6, 7, 3 A053828   0, 1, 2, 3, 4, 5, 6, 1, 2, 3,  4,  5,  6,  7,  2,  3, 4, 5, 6 A053829   0, 1, 2, 3, 4, 5, 6, 7, 1, 2,  3,  4,  5,  6,  7,  8, 2, 3, 4 A053830   0, 1, 2, 3, 4, 5, 6, 7, 8, 1,  2,  3,  4,  5,  6,  7, 8, 9, 2 A007953   0, 1, 2, 3, 4, 5, 6, 7, 8, 9,  1,  2,  3,  4,  5,  6, 7, 8, 9 A053831   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,  1,  2,  3,  4,  5, 6, 7, 8 A053832   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,  1,  2,  3,  4, 5, 6, 7 A053833   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,  1,  2,  3, 4, 5, 6 A053834   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,  1,  2, 3, 4, 5 A053835   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,  1, 2, 3, 4 A053836   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3 LINKS Robert Israel, Table of n, a(n) for n = 1..10011 (antidiagonals n+b from 2 to 142, flattened) K. Atanassov, On Some of Smarandache's Problems Eric Weisstein's World of Mathematics, Digit Sum Wikipedia, Digit sum MAPLE [seq(seq(convert(convert(n-b, base, b), `+`), b=n..2, -1), n=1..15)]; # Robert Israel, Aug 02 2020 MATHEMATICA DigitSum[n_, b_: 10] := Total[IntegerDigits[n, b]]; Table[ DigitSum[n - b, b], {n, 2, 13}, {b, n, 2, -1}] // Flatten CROSSREFS Cf. A000120, A053735, A053737, A053824, A053827, A053828, A053829, A053830, A007953, A053831, A053832, A053833, A053834, A053835, A053836. Sequence in context: A146093 A091269 A287455 * A097951 A256171 A058643 Adjacent sequences:  A216786 A216787 A216788 * A216790 A216791 A216792 KEYWORD base,nonn,tabl AUTHOR Henry Bottomley & Robert G. Wilson v, Sep 16 2012 STATUS approved

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Last modified January 16 05:22 EST 2022. Contains 350374 sequences. (Running on oeis4.)