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A104969 Sum of squares of terms in rows of triangle A104967. +0
4
1, 2, 6, 12, 18, 36, 92, 184, 298, 596, 1444, 2888, 4852, 9704, 22840, 45680, 78490, 156980, 362580, 725160, 1265564, 2531128, 5767688, 11535376, 20366596, 40733192, 91866984, 183733968, 327351336, 654702672, 1464522864, 2929045728 (list; graph; listen)
OFFSET

0,2

FORMULA

a(2*n+1) = 2*a(2*n). G.f.: A(x) = (1+2*x)*G(x^2) where G(x) is the g.f. of A104970 such that G(x) satisfies: 2*(1+12*x)*G(x) - (1-16*x^2)*deriv(G(x), x) + 4 = 0.

PROGRAM

(PARI) {a(n)=local(X=x+x*O(x^n)); sum(k=0, n, polcoeff(polcoeff((1-2*X)/(1-X-X*y*(1-2*X)), n, x), k, y)^2)}

CROSSREFS

Cf. A104967, A104970.

Sequence in context: A117311 A125024 A053660 this_sequence A065005 A139084 A086958

Adjacent sequences: A104966 A104967 A104968 this_sequence A104970 A104971 A104972

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 30 2005

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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