cp's OEIS Frontend

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.

A336225 Table read by antidiagonals: T(n, k) = digitsum(n*k) with n >= 0 and k >= 0.

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%I A336225 #26 Aug 21 2020 22:52:10
%S A336225 0,0,0,0,1,0,0,2,2,0,0,3,4,3,0,0,4,6,6,4,0,0,5,8,9,8,5,0,0,6,1,3,3,1,
%T A336225 6,0,0,7,3,6,7,6,3,7,0,0,8,5,9,2,2,9,5,8,0,0,9,7,3,6,7,6,3,7,9,0,0,1,
%U A336225 9,6,10,3,3,10,6,9,1,0,0,2,2,9,5,8,9,8,5,9,2,2,0
%N A336225 Table read by antidiagonals: T(n, k) = digitsum(n*k) with n >= 0 and k >= 0.
%H A336225 <a href="/index/Su#sum_of_digits">Index entries for sequences related to sum of digits</a>.
%F A336225 T(n, k) = A007953(A004247(n, k)).
%F A336225 T(n, 1) = T(1, n) = A007953(n).
%F A336225 T(n, 2) = T(2, n) = A004092(n).
%F A336225 T(n, k) = A007953(A003991(n, k)) for n*k > 0. - _Michel Marcus_, Jul 13 2020.
%e A336225 The table T(n, k) begins
%e A336225 0   0   0   0   0   0   0   0 ...
%e A336225 0   1   2   3   4   5   6   7 ...
%e A336225 0   2   4   6   8   1   3   5 ...
%e A336225 0   3   6   9   3   6   9   3 ...
%e A336225 0   4   8   3   7   2   6  10 ...
%e A336225 0   5   1   6   2   7   3   8 ...
%e A336225 0   6   3   9   6   3   9   6 ...
%e A336225 0   7   5   3  10   8   6  13 ...
%e A336225 ...
%t A336225 T[n_,k_]:=Total[IntegerDigits[n*k]]; Table[T[n-k,k],{n,0,12},{k,0,n}]//Flatten
%o A336225 (PARI) T(n, k) = sumdigits(n*k);
%Y A336225 Cf. A003991, A004092, A004159 (diagonal), A004164 (digitsum of n^3), A004247, A007953, A055565 (digitsum of n^4), A055566 (digitsum of n^5), A055567 (digitsum of n^6).
%K A336225 nonn,base,tabl,easy
%O A336225 0,8
%A A336225 _Stefano Spezia_, Jul 12 2020