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A229279 Number of ascending runs in {1,...,5}^n. 2
0, 5, 40, 275, 1750, 10625, 62500, 359375, 2031250, 11328125, 62500000, 341796875, 1855468750, 10009765625, 53710937500, 286865234375, 1525878906250, 8087158203125, 42724609375000, 225067138671875, 1182556152343750, 6198883056640625, 32424926757812500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: -5*(2*x-1)*x/(5*x-1)^2.

a(n) = 5^(n-1)*(3*n+2) for n>0, a(0) = 0.

MAPLE

a:= n-> `if`(n=0, 0, 5^(n-1)*(3*n+2)):

seq(a(n), n=0..30);

CROSSREFS

Column k=5 of A229079.

Sequence in context: A157794 A001656 A087632 * A124306 A124545 A125729

Adjacent sequences:  A229276 A229277 A229278 * A229280 A229281 A229282

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 18 2013

STATUS

approved

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Last modified February 23 21:20 EST 2020. Contains 332195 sequences. (Running on oeis4.)