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A158610 Expansion of (1+15*x)/(1-x-256*x^2). 0
1, 16, 272, 4368, 74000, 1192208, 20136208, 325341456, 5480210704, 88767623440, 1491701563664, 24216213164304, 406091813462288, 6605442383524112, 110564946629869840, 1801558196812042512, 30106184534058721552 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 221.

LINKS

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (1,256).

FORMULA

From Philippe Deléham, Mar 26 2009: (Start)

a(n) = a(n-1) + 256*a(n-2), a(0)=1, a(1)=16.

G.f.: (1+15x)/(1-x-256*x^2). (End)

a(n) = (1/2)*((1/2 - (5/2)*sqrt(41))^n + (1/2 + (5/2)*sqrt(41))^n) + (31/410)*sqrt(41)*((1/2 + (5/2)*sqrt(41))^n - (1/2 - (5/2)*sqrt(41))^n), with n >= 0. - Paolo P. Lava, Mar 30 2009

MATHEMATICA

LinearRecurrence[{1, 256}, {1, 16}, 20] (* Harvey P. Dale, Jan 10 2015 *)

CROSSREFS

Sequence in context: A249391 A197622 A002303 * A221176 A231695 A004382

Adjacent sequences:  A158607 A158608 A158609 * A158611 A158612 A158613

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Mar 22 2009

STATUS

approved

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Last modified December 2 16:46 EST 2020. Contains 338877 sequences. (Running on oeis4.)