This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A216789 #25 Feb 16 2025 08:33:18 %S A216789 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, %T A216789 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, %U A216789 2,3,4,5,6,2,4,3,2,3 %N A216789 Table read by antidiagonals: T(n,k) is the digital sum of k in base n displayed in decimal. %C A216789 T(n,k) is the least number of powers of n that add up to k. - _Mohammed Yaseen_, Nov 12 2022 %H A216789 Robert Israel, <a href="/A216789/b216789.txt">Table of n, a(n) for n = 2..10012</a> (indices corrected to start at 2 by Sidney Cadot, Jan 07 2023) %H A216789 K. Atanassov, <a href="http://www.gallup.unm.edu/~smarandache/Atanassov-SomeProblems.pdf">On Some of Smarandache's Problems</a> %H A216789 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DigitSum.html">Digit Sum</a> %H A216789 Wikipedia, <a href="http://en.wikipedia.org/wiki/Digit_sum">Digit sum</a> %e A216789 A000120 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2 %e A216789 A053735 0, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 4, 5, 2 %e A216789 A053737 0, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 5, 3, 4, 5, 6, 1, 2, 3 %e A216789 A053824 0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 3, 4, 5, 6 %e A216789 A053827 0, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3 %e A216789 A053828 0, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 2, 3, 4, 5, 6 %e A216789 A053829 0, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4 %e A216789 A053830 0, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2 %e A216789 A007953 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9 %e A216789 A053831 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8 %e A216789 A053832 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7 %e A216789 A053833 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6 %e A216789 A053834 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5 %e A216789 A053835 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4 %e A216789 A053836 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3 %p A216789 [seq(seq(convert(convert(n-b,base,b),`+`),b=n..2,-1),n=1..15)]; # _Robert Israel_, Aug 02 2020 %t A216789 DigitSum[n_, b_: 10] := Total[IntegerDigits[n, b]]; Table[ DigitSum[n - b, b], {n, 2, 13}, {b, n, 2, -1}] // Flatten %Y A216789 Cf. A000120, A053735, A053737, A053824, A053827, A053828, A053829, A053830, A007953, A053831, A053832, A053833, A053834, A053835, A053836. %K A216789 base,nonn,tabl %O A216789 2,9 %A A216789 _Henry Bottomley_ & _Robert G. Wilson v_, Sep 16 2012 %E A216789 Name and offset corrected by _Mohammed Yaseen_, Nov 12 2022