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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
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
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 March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)