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A128576 Row 6 of table A128570. 9
1, 7, 112, 2464, 65520, 1991808, 67189248, 2469837888, 97765355520, 4132860197760, 185458263419520, 8794132843507200, 439083652465543680, 23017956568726049280, 1263929372436815078400, 72550400791147384412160 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: A(x) = 1 + 7x*R(x,7)^2, where R(x,7) = 1 + 8*x*R(x,8)^2, R(x,8) = 1 + 9*x*R(x,9)^2, ..., R(x,n) = 1 + (n+1)*x*R(x,n+1)^2, ... and R(x,n) is the g.f. of row n of table A128570.

PROG

(PARI) {a(n)=local(A=1+(n+7)*x); for(j=0, n, A=1+(n+7-j)*x*A^2 +x*O(x^n)); polcoeff(A, n)}

CROSSREFS

Cf. A128570 (triangle), other rows: A128318, A128571, A128572, A128573, A128574, A128575; A128577 (square of row 0), A128578 (main diagonal), A128579 (antidiagonal sums).

Sequence in context: A094219 A067404 A129030 * A147631 A010795 A099153

Adjacent sequences:  A128573 A128574 A128575 * A128577 A128578 A128579

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 11 2007

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Last modified February 17 14:19 EST 2012. Contains 206038 sequences.