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Search: id:A145074
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A145074 a(n) = [x^(4^n)] Q(x,n)^(n+1) where Q(x,n) = Sum_{k=0..n} (x^(4^k) + x^(2*4^k) + x^(3*4^k)) for n>=0. +0
4
1, 3, 12, 97, 885, 10386, 141295, 2218987 (list; graph; listen)
OFFSET

0,2

EXAMPLE

a(n) equals the coefficient of x^(4^n) in Q(x,n)^(n+1) where

Q(x,n) = Sum_{k=0..n} (x^(4^k) + x^(2*4^k) + x^(3*4^k)) for n>=0.

PROGRAM

(PARI) {a(n, q=4)=local(Q=sum(j=0, n, (x^(q^j)-x^(q*q^j))/(1-x^(q^j)+O(x^(q^n+1))))); polcoeff(Q^(n+1), q^n)}

CROSSREFS

Cf. A007178, A145073, A145075, A145076.

Sequence in context: A025503 A078124 A115245 this_sequence A162055 A067300 A133359

Adjacent sequences: A145071 A145072 A145073 this_sequence A145075 A145076 A145077

KEYWORD

more,nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 09 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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