A171211
G.f. satisfies: A(x) = (1 + x*A(2x))^8.
Original entry on oeis.org
1, 8, 156, 5944, 425286, 57811000, 15246040860, 7918843018760, 8165859019876353, 16781575370067304448, 68855523432488884833408, 564547878300963670909315840, 9253510119618208634494942344960
Offset: 0
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m = 13; A[] = 0; Do[A[x] = (1 + x A[2 x])^8 + O[x]^m // Normal, {m}];
CoefficientList[A[x], x] (* Jean-François Alcover, Nov 07 2019 *)
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{a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=(1+x*subst(A, x, 2*x))^8); polcoeff(A, n)}
A171208
G.f. A(x) satisfies A(x) = 1 + x*A(2*x)^7.
Original entry on oeis.org
1, 1, 14, 476, 31640, 3953488, 939383200, 433281169216, 393718899904640, 710399428248892928, 2554705943898166145024, 18342976469146094416494592, 263185684727811758287894478848, 7549222852919288301041224694890496, 432993292623369448352459156263293419520
Offset: 0
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terms = 15; A[] = 0; Do[A[x] = 1+x*A[2x]^7 + O[x]^terms // Normal, terms]; CoefficientList[A[x], x] (* Stefano Spezia, Apr 02 2025 *)
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{a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A, x, 2*x)^7); polcoeff(A, n)}
A171210
G.f. A(x) satisfies A(x) = 1 + x*A(2*x)^8.
Original entry on oeis.org
1, 1, 16, 624, 47552, 6804576, 1849952000, 975746615040, 1013611906401280, 2090459909088346368, 8592166589474459877376, 70508055994868618069409792, 1156194054760373598022278840320, 37902377449956182566891283844956160, 2484501232375923934830943089632156319744
Offset: 0
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terms = 15; A[] = 0; Do[A[x] = 1+x*A[2x]^8 + O[x]^terms // Normal, terms]; CoefficientList[A[x], x] (* Stefano Spezia, Apr 02 2025 *)
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{a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A, x, 2*x)^8); polcoeff(A, n)}
Showing 1-3 of 3 results.