A348875
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x * A(2*x)).
Original entry on oeis.org
1, 2, 8, 56, 656, 13184, 477248, 32524928, 4295916032, 1117098857984, 576442191401984, 592587279827787776, 1215991461595100598272, 4985567391504232291377152, 40861715233637664786276712448, 669641809249948891254213657460736, 21945501536426419427607885034600595456
Offset: 0
-
nmax = 16; A[] = 0; Do[A[x] = 1/(1 - x - x A[2 x]) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
a[0] = 1; a[n_] := a[n] = a[n - 1] + Sum[2^k a[k] a[n - k - 1], {k, 0, n - 1}]; Table[a[n], {n, 0, 16}]
A348877
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x * A(4*x)).
Original entry on oeis.org
1, 2, 12, 232, 15792, 4108192, 4223439552, 17316156716672, 283777228606348032, 18598759772257600748032, 4875627680189345535622228992, 5112485673116229482189477259405312, 21443339558695300334256395183459423465472, 359759625310995318218730673236935427042834358272
Offset: 0
-
nmax = 13; A[] = 0; Do[A[x] = 1/(1 - x - x A[4 x]) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
a[0] = 1; a[n_] := a[n] = a[n - 1] + Sum[4^k a[k] a[n - k - 1], {k, 0, n - 1}]; Table[a[n], {n, 0, 13}]
A349033
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x * A(-3*x)).
Original entry on oeis.org
1, 2, -2, -34, 826, 70634, -16895162, -12385295242, 27037369868722, 177500531682526034, -3493033395457140741746, -206274103942288894158940594, 36540013650535335202759969693162, 19419007557809179132528500713950083002, -30960092711143410415029705970483650552421802
Offset: 0
-
nmax = 14; A[] = 0; Do[A[x] = 1/(1 - x - x A[-3 x]) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
a[0] = 1; a[n_] := a[n] = a[n - 1] + Sum[(-3)^k a[k] a[n - k - 1], {k, 0, n - 1}]; Table[a[n], {n, 0, 14}]
Showing 1-3 of 3 results.