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}]
A348876
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x * A(3*x)).
Original entry on oeis.org
1, 2, 10, 122, 3778, 321794, 79518154, 58289895290, 127713856067074, 838441945709583746, 16506407616569722560778, 974752895709158578160969978, 172678450359956040815290930278850, 91769099059347441553324620759011469698, 146309952397373808216450794120154608358754762
Offset: 0
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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}]
A349034
G.f. A(x) satisfies: A(x) = 1 / (1 - x - x * A(-4*x)).
Original entry on oeis.org
1, 2, -4, -88, 5360, 1395104, -1423111744, -5834786588032, 95573832673124096, 6263909110244685920768, -1642021136070472933898232832, -1721790522986063937046243536001024, 7221705990593287793620261453916626546688, 121160150179535955805047509278599956409746825216
Offset: 0
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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}]
Showing 1-3 of 3 results.