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A081295 a(n) = (-1)^(n+1)* coefficient of x^n in sum(k>=1,x^k/(1+2*x^k)). 4
1, 1, 5, 9, 17, 29, 65, 137, 261, 497, 1025, 2085, 4097, 8129, 16405, 32905, 65537, 130845, 262145, 524793, 1048645, 2096129, 4194305, 8390821, 16777233, 33550337, 67109125, 134225865, 268435457, 536855053, 1073741825, 2147516553 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

a(p)=2^(p-1)-1 p prime.

PROG

(PARI) a(n)=if(n<1, 0, (-1)^(n+1)*polcoeff(sum(k=1, n, x^k/(1+2*x^k), x*O(x^n)), n))

CROSSREFS

Cf. A034729.

Sequence in context: A200078 A190806 A192746 * A180565 A160426 A059743

Adjacent sequences:  A081292 A081293 A081294 * A081296 A081297 A081298

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 20 2003

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Last modified February 15 21:27 EST 2012. Contains 205859 sequences.