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1, 6, 84, 1638, 38976, 1068480, 32716992, 1098069504, 39896236800, 1555603999488, 64678765165056, 2853714891138048, 133101200708356608, 6542154022577467392, 337978986519657627648, 18310837206705702672384
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: A(x) = 1 + 6x*R(x,6)^2, where R(x,6) = 1 + 7*x*R(x,7)^2, R(x,7) = 1 + 8*x*R(x,8)^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.
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PROG
| (PARI) {a(n)=local(A=1+(n+6)*x); for(j=0, n, A=1+(n+6-j)*x*A^2 +x*O(x^n)); polcoeff(A, n)}
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CROSSREFS
| Cf. A128570 (triangle), other rows: A128318, A128571, A128572, A128573, A128574, A128576; A128577 (square of row 0), A128578 (main diagonal), A128579 (antidiagonal sums).
Sequence in context: A011945 A113888 A163947 * A014062 A147626 A123312
Adjacent sequences: A128572 A128573 A128574 * A128576 A128577 A128578
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Mar 11 2007
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