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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. 3
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, 0, 1, 10922, 59535, 7732, 205, 6, 1, 0, 1, 87382, 1594323, 599548, 18485, 306, 7, 1, 0, 1, 699050, 43033599, 39945364, 2416045, 36126, 427, 8, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Array starts:

[0] 1, 0,   0,     0,       0,          0,            0, ... A000007

[1] 1, 1,   1,     1,       1,          1,            1, ... A000012

[2] 1, 2,  22,   170,    1366,      10922,        87382, ... A007613

[3] 1, 3,  63,  2187,   59535,    1594323,     43033599, ...

[4] 1, 4, 124,  7732,  599548,   39945364,   2556712828, ...

[5] 1, 5, 205, 18485, 2416045,  352060805,  46660373965, ...

[6] 1, 6, 306, 36126, 6673266, 1544907006, 379696000626, ...

      A051874,

MATHEMATICA

(* The function MLPower is defined in A326327. *)

For[n = 0, n < 8, n++, Print[MLPower[3, n, 8]]]

PROG

(Sage) # uses[MLPower from A326327]

for n in (0..6): print(MLPower(3, n, 9))

CROSSREFS

Rows include: A000007, A000012, A007613.

Columns include: A051874.

Cf. A326476 (m=2, p>=0), A326327 (m=2, p<=0), this sequence (m=3, p>=0), A326475 (m=3, p<=0).

Sequence in context: A266632 A062154 A334159 * A266886 A267546 A228817

Adjacent sequences:  A326471 A326472 A326473 * A326475 A326476 A326477

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Jul 08 2019

STATUS

approved

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Last modified June 4 15:22 EDT 2020. Contains 334828 sequences. (Running on oeis4.)