A152105 - OEIS

A152105

a(n) = (10^n + 6^n)/2.

1, 8, 68, 608, 5648, 53888, 523328, 5139968, 50839808, 505038848, 5030233088, 50181398528, 501088391168, 5006530347008, 50039182082048, 500235092492288, 5001410554953728, 50008463329722368, 500050779978334208, 5000304679870005248, 50001828079220031488, 500010968475320188928

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (16,-60).

FORMULA

a(n) = (10^n + 6^n)/2. - Klaus Brockhaus, Nov 26 2008

From Philippe Deléham, Nov 26 2008: (Start)

a(n) = 16*a(n-1) - 60*a(n-2), n > 1; a(0)=1, a(1)=8.

G.f.: (1-8*x)/((1-6*x)*(1-10*x)).

a(n) = (Sum_{k=0..n} A098158(n,k)*2^(4*k))/2^n. (End)