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A107879
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Column 3 of triangle A107876.
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3
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1, 1, 4, 26, 230, 2565, 34516, 544423, 9857583, 201664780, 4603336725, 116059191472, 3204682702923, 96226940232235, 3122975927539860, 108970956192622980, 4069312064491308140, 161969813446983961395
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: 1 = Sum_{k>=0} a(k)*x^k*(1-x)^((k+2)*(k+3)/2 - 2).
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EXAMPLE
| 1 = 1*(1-x)^1 + 1*x*(1-x)^4 + 4*x^2*(1-x)^8 + 26*x^3*(1-x)^13 + 230*x^4*(1-x)^19 + 2565*x^5*(1-x)^26 + 34516*x^6*(1-x)^34 +...
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PROG
| (PARI) {a(n)=polcoeff(1-sum(k=0, n-1, a(k)*x^k*(1-x+x*O(x^n))^((k+2)*(k+3)/2-2)), n)}
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CROSSREFS
| Cf. A107876, A107877, A107878.
Sequence in context: A152407 A168448 A105616 * A066224 A136227 A000310
Adjacent sequences: A107876 A107877 A107878 * A107880 A107881 A107882
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2005
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