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Search: id:A088358
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| A088358 |
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a(n) equals sum of first n terms of A(x)^n, with a(0)=a(1)=1. |
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+0
1
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| 1, 1, 3, 16, 127, 1321, 16680, 244518, 4049199, 74404069, 1498276873, 32764372213, 772675039936, 19541627299052, 527590805816280, 15146369004674536, 460804123171138079, 14811876349937896743, 501663013214822053815
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OFFSET
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0,3
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EXAMPLE
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a(1)=1 since A={1,_1,3,16,127,1321,...}
a(2)=3=1+2 since A^2={1,2,_7,38,295,2992,...}
a(3)=16=1+3+12 since A^3={1,3,12,_67,513,5088,...}
a(4)=127=1+4+18+104 since A^4={1,4,18,104,_791,7696,..}
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PROGRAM
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(PARI) a(n)=local(A); if(n<2, n>=0, A=1+x; for(i=2, n, A+=x^i*subst(Pol((A+O(x^i))^i), x, 1)); polcoeff(A, n))
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CROSSREFS
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Sequence in context: A000951 A000272 A159594 this_sequence A082161 A135752 A120021
Adjacent sequences: A088355 A088356 A088357 this_sequence A088359 A088360 A088361
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KEYWORD
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nonn
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AUTHOR
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Michael Somos and Paul D. Hanna (pauldhanna(AT)juno.com), Sep 27 2003
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