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A032243 "DHK" (bracelet, identity, unlabeled) transform of 1,0,1,0,... (odd). 1
1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 8, 11, 18, 31, 48, 79, 123, 203, 315, 514, 791, 1278, 1983, 3169, 4922, 7832, 12206, 19333, 30215, 47757, 74816, 118125, 185423, 292674, 460279, 726599, 1144508, 1807639, 2851366, 4506371, 7117308 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500

C. G. Bower, Transforms (2)

PROG

(PARI)

DHK(p, n)={my(q=((1+p)^2/(1-subst(p, x, x^2))-1)/2); p + (p^2-subst(p, x, x^2))/2 + sum(d=1, n, moebius(d)*(log(subst(1/(1+O(x*x^(n\d))-p), x, x^d))/d - subst(q + O(x*x^(n\d)), x, x^d)))/2}

seq(n)=Vec(1 + DHK(x/(1-x^2) + O(x*x^n), n)) \\ Andrew Howroyd, Sep 21 2018

CROSSREFS

Sequence in context: A032252 A112708 A147558 * A153922 A153943 A049309

Adjacent sequences:  A032240 A032241 A032242 * A032244 A032245 A032246

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended by Andrew Howroyd, Sep 21 2018

STATUS

approved

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Last modified October 16 19:00 EDT 2018. Contains 316271 sequences. (Running on oeis4.)