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 A106399 Binomial transform of A100060. 0
 1, 1, 2, 4, 8, 16, 31, 58, 107, 200, 387, 782, 1640, 3512, 7542, 16020, 33406, 68257, 136971, 271341, 534302, 1053441, 2092840, 4206655, 8564397, 17631551, 36575711, 76137143, 158427407, 328537434, 677598776, 1388303692, 2824261172, 5704560206, 11443336382 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 1 or 0 are assigned to increase or decrease in magnitude of a succession of terms in the first difference row of Zeta function heights, as recorded in A100060. LINKS Table of n, a(n) for n=1..35. FORMULA Use the binomial transform operation (bto) on A100060, i.e. (bto): [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, EXAMPLE a(5) = 8 = 1*1 + 4*0 + 6*1 + 4*0 + 1*1. MATHEMATICA nmax = 40; A100060 = (Sign[Differences[Im[ZetaZero[Range[nmax+2]]], 2]] + 1)/2; Flatten[{1, Table[1 + Sum[Binomial[n, k]*A100060[[k]], {k, 1, n}], {n, 1, nmax}]}] (* Vaclav Kotesovec, Nov 28 2017 *) CROSSREFS Cf. A100060. Sequence in context: A133552 A174439 A000128 * A334636 A299026 A007800 Adjacent sequences: A106396 A106397 A106398 * A106400 A106401 A106402 KEYWORD nonn AUTHOR Gary W. Adamson, May 01 2005 EXTENSIONS a(11) corrected by Vaclav Kotesovec, Nov 28 2017 More terms from Vaclav Kotesovec, Nov 28 2017 STATUS approved

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Last modified August 2 22:39 EDT 2024. Contains 374875 sequences. (Running on oeis4.)