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 A100341 Denominators of the convergents in the continued fraction expansion for the constant given by A100338, where the partial quotients equal A006519 (greatest power of 2 dividing n). 4
 1, 2, 3, 14, 17, 48, 65, 568, 633, 1834, 2467, 11702, 14169, 40040, 54209, 907384, 961593, 2830570, 3792163, 17999222, 21791385, 61581992, 83373377, 728569008, 811942385, 2352453778, 3164396163, 15010038430, 18174434593, 51358907616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The convergents for the continued fraction of x are given by A100340(n)/A100341(n) and the convergents for the continued fraction of 2*x are given by A100342(n)/A100343(n), where A100342(n)/A100343(n) = 2*A100340(n)/A100341(n) for all n. LINKS Table of n, a(n) for n=1..30. FORMULA a(1) = 1, a(2) = 2, a(n) = a(n-1)*A006519(n) + a(n-2). EXAMPLE The constant is x=1.353871128429882374388894084016608124227333416812... contfrac(x) = [1;2,1,4,1,2,1,8,1,2,1,4,1,2,1,16,...A006519(n),... ]. PROG (PARI) a(n)=if(n==1, 1, if(n==2, 2, a(n-1)*2^valuation(n, 2)+a(n-2))) CROSSREFS Cf. A100338, A006519, A100340, A100342, A100343. Sequence in context: A281500 A041009 A042367 * A041869 A041010 A041733 Adjacent sequences: A100338 A100339 A100340 * A100342 A100343 A100344 KEYWORD cofr,nonn AUTHOR Paul D. Hanna, Nov 18 2004 STATUS approved

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Last modified December 2 01:41 EST 2023. Contains 367505 sequences. (Running on oeis4.)