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A342611
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a(0) = 0, a(1) = 1; a(2*n) = 7*a(n), a(2*n+1) = a(n) + a(n+1).
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4
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0, 1, 7, 8, 49, 15, 56, 57, 343, 64, 105, 71, 392, 113, 399, 400, 2401, 407, 448, 169, 735, 176, 497, 463, 2744, 505, 791, 512, 2793, 799, 2800, 2801, 16807, 2808, 2849, 855, 3136, 617, 1183, 904, 5145, 911, 1232, 673, 3479, 960, 3241, 3207, 19208, 3249, 3535, 1296, 5537
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: x * Product_{k>=0} (1 + 7*x^(2^k) + x^(2^(k+1))).
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MATHEMATICA
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a[0] = 0; a[1] = 1; a[n_] := If[EvenQ[n], 7 a[n/2], a[(n - 1)/2] + a[(n + 1)/2]]; Table[a[n], {n, 0, 52}]
nmax = 52; CoefficientList[Series[x Product[(1 + 7 x^(2^k) + x^(2^(k + 1))), {k, 0, Floor[Log[2, nmax]] + 1}], {x, 0, nmax}], x]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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