A107906 - OEIS

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A107906

Expansion of (1+8x)/(1-16x^2).

1, 8, 16, 128, 256, 2048, 4096, 32768, 65536, 524288, 1048576, 8388608, 16777216, 134217728, 268435456, 2147483648, 4294967296, 34359738368, 68719476736, 549755813888, 1099511627776, 8796093022208, 17592186044416

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OFFSET

0,2

COMMENTS

Fifth binomial transform is A096053.

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (0,16).

FORMULA

a(n) = ((1+sqrt(4))*(2*sqrt(4))^n + (1-sqrt(4))*(-2*sqrt(4))^n)/2;

a(n) = 3*4^n/2 - (-4)^n/2.

a(2n) = 16^n, a(2n+1) = 8*16^n.

CROSSREFS

Sequence in context: A264478 A277364 A278312 * A328127 A323385 A061359

Adjacent sequences: A107903 A107904 A107905 * A107907 A107908 A107909

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 27 2005

STATUS

approved