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A049402 Row sums of triangle A049374. 6
1, 1, 7, 61, 649, 8245, 122215, 2069425, 39328465, 827226505, 19047582055, 475956135205, 12815133759385, 369605936607805, 11361372997850695, 370609338222772825, 12780705695068446625, 464412124831585889425, 17729002673226394402375, 709180766131239680070925 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..415

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

FORMULA

E.g.f. exp(p(x)) with p(x) := (1-(1-x)^5)/(5*(1-x)^5) (E.g.f. first column of A049374).

MAPLE

a:= proc(n) option remember; `if`(n=0, 1, add(

      binomial(n-1, j-1)*(j+4)!/5!*a(n-j), j=1..n))

    end:

seq(a(n), n=0..25);  # Alois P. Heinz, Aug 01 2017

CROSSREFS

Cf. A049374.

Sequence in context: A127688 A111532 A061634 * A218498 A261687 A001830

Adjacent sequences:  A049399 A049400 A049401 * A049403 A049404 A049405

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

EXTENSIONS

a(0)=1 prepended by Alois P. Heinz, Aug 01 2017

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)