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A097821 E.g.f. exp(2x)/(1-5x). 0
1, 7, 74, 1118, 22376, 559432, 16783024, 587405968, 23496238976, 1057330754432, 52866537722624, 2907659574746368, 174459574484786176, 11339872341511109632, 793791063905777690624, 59534329792933326829568 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Second binomial transform of n!5^n.

LINKS

Table of n, a(n) for n=0..15.

FORMULA

a(n)=5n*a(n-1)+2^n, n>0, a(0)=1.

D-finite with recurrence a(n) +(-5*n-2)*a(n-1) +10*(n-1)*a(n-2)=0. - R. J. Mathar, Aug 20 2021

CROSSREFS

Cf. A056545, A000354.

Sequence in context: A341330 A266305 A098118 * A337387 A054745 A323322

Adjacent sequences:  A097818 A097819 A097820 * A097822 A097823 A097824

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 26 2004

STATUS

approved

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Last modified July 7 00:24 EDT 2022. Contains 355115 sequences. (Running on oeis4.)