A348878
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x^2 * A(2*x)).
Original entry on oeis.org
1, 1, 2, 5, 17, 74, 429, 3297, 34578, 495573, 9888497, 274123802, 10685538941, 583079000129, 44945515778914, 4867082587900837, 746167748281132753, 160981861948404281578, 49223569713040994430285, 21198824279482430844823713, 12946110661470835825027893426
Offset: 0
-
nmax = 20; A[] = 0; Do[A[x] = 1/(1 - x - x^2 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 - 2], {k, 0, n - 2}]; Table[a[n], {n, 0, 20}]
A348879
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x^2 * A(3*x)).
Original entry on oeis.org
1, 1, 2, 6, 29, 221, 2815, 59607, 2175115, 134785987, 14543011028, 2682224473296, 864129873439979, 476879023670530355, 460188677448639450646, 761220053428592181980874, 2202591080616789155249254723, 10927081698418028875550581480027, 94836180093445711611212497662570806
Offset: 0
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nmax = 18; A[] = 0; Do[A[x] = 1/(1 - x - x^2 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 - 2], {k, 0, n - 2}]; Table[a[n], {n, 0, 18}]
A349037
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x^2 * A(-4*x)).
Original entry on oeis.org
1, 1, 2, -1, 29, 116, 7701, -103563, 31343898, 1759289595, 2057705197793, -457070362176172, 2156748187140412361, 1921405067209313680505, 36188075164863127910696914, -128870933294125665748520896793, 9713904752944734908048841134573557
Offset: 0
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nmax = 16; A[] = 0; Do[A[x] = 1/(1 - x - x^2 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 - 2], {k, 0, n - 2}]; Table[a[n], {n, 0, 16}]
Showing 1-3 of 3 results.