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A370458
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Partial products of A051179.
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2
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1, 3, 45, 11475, 752014125, 3229876072253041875, 59580697294650083747194059426068878125, 20274260698223485458204828871028994444941136941453077244297515184669623921875
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Donald Knuth, Problem 11685, The American Mathematical Monthly, Vol. 120, No. 1 (2013), p. 76; The Reciprocal of the Thue-Morse Constant, Solution to Problem 11685 by Traian Viteam, ibid., Vol. 122, No. 1 (2015), pp. 81-82.
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FORMULA
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a(n) = Product_{k=0..n} A051179(k).
Sum_{n>=0} 1/a(n) = A258714 = 1/A215016 - 3/2 = 1.355642702854... (Knuth, 2013).
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MATHEMATICA
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FoldList[Times, Table[2^(2^n) - 1, {n, 0, 7}]]
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PROG
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(PARI) lista(nmax) = {my(v = 1); for(i = 0, nmax, v *= (2^(2^i) - 1); print1(v, ", ")); }
(Python)
from math import prod
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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