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Search: id:A145075
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A145075 a(n) = [x^(5^n)] Q(x,n)^(n+1) where Q(x,n) = Sum_{k=0..n} (x^(5^k) + x^(2*5^k) + x^(3*5^k) + x^(4*5^k)) for n>=0. +0
4
1, 4, 18, 172, 1881, 25644, 411488 (list; graph; listen)
OFFSET

0,2

EXAMPLE

a(n) equals the coefficient of x^(5^n) in Q(x,n)^(n+1) where

Q(x,n) = Sum_{k=0..n} (x^(5^k) + x^(2*5^k) + x^(3*5^k) + x^(4*5^k)) for n>=0.

PROGRAM

(PARI) {a(n, q=5)=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, A145074, A145076.

Sequence in context: A054759 A007153 A156870 this_sequence A058924 A154731 A071173

Adjacent sequences: A145072 A145073 A145074 this_sequence A145076 A145077 A145078

KEYWORD

more,nonn

AUTHOR

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

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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