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Search: id:A124382
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| A124382 |
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O.g.f.: A(x) = Sum_{n>=0} x^n*Product_{k=0..n} (1 + k*(k+1)*(k+2)/6*x). |
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+0
1
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| 1, 1, 2, 6, 20, 90, 465, 2826, 20020, 158348, 1430189, 14217275, 157279196, 1903617880, 25151383277, 361228405394, 5594555181227, 93472423847492, 1671138501448565, 31988293954710201, 651665490924639449
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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A(x) = 1 + x*(1+x) + x^2*(1+x)*(1+4x) + x^3*(1+x)*(1+4x)*(1+10x) +...
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PROGRAM
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(PARI) a(n)=polcoeff(sum(k=0, n, x^k*prod(j=0, k, 1+j*(j+1)*(j+2)/3!*x+x*O(x^n))), n)
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CROSSREFS
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Sequence in context: A089179 A004104 A079468 this_sequence A000666 A027321 A027315
Adjacent sequences: A124379 A124380 A124381 this_sequence A124383 A124384 A124385
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 28 2006
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