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A206076 Numerator of p(n,-1/2), where p(n,x) is the polynomial given by A205073. 1
1, -1, 1, 1, 5, -1, 3, -1, 7, -5, 3, 1, 9, -3, 5, 1, 17, -7, 9, 5, 21, -3, 13, -1, 15, -9, 7, 3, 19, -5, 11, -1, 31, -17, 15, 7, 39, -9, 23, -5, 27, -21, 11, 3, 35, -13, 19, 1, 33, -15, 17, 9, 41, -7, 25, -3, 29, -19, 13, 5, 37, -11, 21, 1, 65 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
The denominators are given by A053644. (See the Mathematica section.)
LINKS
MATHEMATICA
t = Table[IntegerDigits[n, 2], {n, 1, 1000}];
b[n_] := Reverse[Table[x^k, {k, 0, n}]]
p[n_, x_] := t[[n]].b[-1 + Length[t[[n]]]]
Table[p[n, x], {n, 1, 15}]
Table[p[n, x] /. x -> 1, {n, 1, 120}] (* A000120 *)
Table[p[n, x] /. x -> 2, {n, 1, 120}] (* A000027 *)
Table[p[n, x] /. x -> 3, {n, 1, 120}] (* A005836 *)
Table[p[n, x] /. x -> 4, {n, 1, 120}] (* A000695 *)
Table[p[n, x] /. x -> -1, {n, 1, 120}] (* A065359 *)
Table[p[n, x] /. x -> -2, {n, 1, 120}] (* A053985 *)
Numerator[Table[p[n, x] /. x -> 1/2, {n, 1, 120}] ] (* A030101 *)
Numerator[Table[p[n, x] /. x -> -1/2, {n, 1, 120}] ] (* A206076 *)
Denominator[Table[p[n, x] /. x -> -1/2, {n, 1, 120}] ] (* A053644 *)
CROSSREFS
Cf. A205073.
Sequence in context: A155059 A347964 A348498 * A329374 A115638 A342375
KEYWORD
sign
AUTHOR
Clark Kimberling, Feb 04 2012
STATUS
approved

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Last modified June 20 23:53 EDT 2024. Contains 373535 sequences. (Running on oeis4.)