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A134717 Odd Motzkin numbers. 2
1, 1, 9, 21, 51, 127, 323, 835, 15511, 41835, 853467, 2356779, 50852019, 142547559, 400763223, 1129760415, 3192727797, 9043402501, 208023278209, 593742784829 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
A001006 except A134718. - Vladimir Reshetnikov, Nov 02 2015
LINKS
MAPLE
S:= series(exp(x)*BesselI(1, 2*x)/x, x, 500):
select(type, [seq(simplify(coeff(S, x, j)*j!), j=0..498)], odd); # Robert Israel, Nov 03 2015
MATHEMATICA
Select[Table[(-1)^n Hypergeometric2F1[3/2, -n, 3, 4], {n, 0, 40}], OddQ] (* Vladimir Reshetnikov, Nov 02 2015 *)
PROG
(PARI) a001006(n) = polcoeff((1-x-sqrt((1-x)^2-4*x^2+x^3*O(x^n)))/ (2*x^2), n); for(n=0, 100, if((m=a001006(n))%2==1, print1(m", "))) \\ Altug Alkan, Nov 03 2015
CROSSREFS
Sequence in context: A251212 A176896 A347502 * A216980 A147169 A216167
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Nov 11 2007
STATUS
approved

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Last modified April 12 18:59 EDT 2024. Contains 371636 sequences. (Running on oeis4.)