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A032253 "DHK" (bracelet, identity, unlabeled) transform of 3,3,3,3,... 1
1, 3, 6, 13, 27, 78, 278, 1011, 3753, 13843, 50934, 187629, 692891, 2568882, 9562074, 35742329, 134117829, 505093740, 1908474674, 7232842785, 27486193251, 104712247296, 399816026490, 1529742725403, 5864036504705, 22517947805343, 86607583200294, 333599771067256 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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(3*x/(1-x) + O(x*x^n), n))} \\ Andrew Howroyd, Sep 21 2018

CROSSREFS

Sequence in context: A183314 A036886 A052251 * A125777 A103788 A182137

Adjacent sequences:  A032250 A032251 A032252 * A032254 A032255 A032256

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(24) and beyond from Andrew Howroyd, Sep 21 2018

STATUS

approved

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Last modified October 17 01:37 EDT 2018. Contains 316275 sequences. (Running on oeis4.)