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.

A326474 A(n, k) = (m*k)! [x^k] MittagLefflerE(m, x)^n, for m = 3, n >= 0, k >= 0; square array read by descending antidiagonals.

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%I A326474 #14 Mar 24 2020 03:41:52
%S A326474 1,0,1,0,1,1,0,1,2,1,0,1,22,3,1,0,1,170,63,4,1,0,1,1366,2187,124,5,1,
%T A326474 0,1,10922,59535,7732,205,6,1,0,1,87382,1594323,599548,18485,306,7,1,
%U A326474 0,1,699050,43033599,39945364,2416045,36126,427,8,1
%N A326474 A(n, k) = (m*k)! [x^k] MittagLefflerE(m, x)^n, for m = 3, n >= 0, k >= 0; square array read by descending antidiagonals.
%e A326474 Array starts:
%e A326474 [0] 1, 0,   0,     0,       0,          0,            0, ... A000007
%e A326474 [1] 1, 1,   1,     1,       1,          1,            1, ... A000012
%e A326474 [2] 1, 2,  22,   170,    1366,      10922,        87382, ... A007613
%e A326474 [3] 1, 3,  63,  2187,   59535,    1594323,     43033599, ...
%e A326474 [4] 1, 4, 124,  7732,  599548,   39945364,   2556712828, ...
%e A326474 [5] 1, 5, 205, 18485, 2416045,  352060805,  46660373965, ...
%e A326474 [6] 1, 6, 306, 36126, 6673266, 1544907006, 379696000626, ...
%e A326474       A051874,
%t A326474 (* The function MLPower is defined in A326327. *)
%t A326474 For[n = 0, n < 8, n++, Print[MLPower[3, n, 8]]]
%o A326474 (Sage) # uses[MLPower from A326327]
%o A326474 for n in (0..6): print(MLPower(3, n, 9))
%Y A326474 Rows include: A000007, A000012, A007613.
%Y A326474 Columns include: A051874.
%Y A326474 Cf. A326476 (m=2, p>=0), A326327 (m=2, p<=0), this sequence (m=3, p>=0), A326475 (m=3, p<=0).
%K A326474 nonn,tabl
%O A326474 0,9
%A A326474 _Peter Luschny_, Jul 08 2019