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A141314 Euler transform of A141313. 1
1, 2, 11, 108, 1713, 36470, 969919, 30847464, 1142093211, 48275435126, 2295244558713, 121298268430124, 7056341421006321, 448203413035086358, 30870845475874376523, 2292084206324841742216, 182512808842356490744432 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Dimensions of the graded components of the domain of cocommutativity of the Hopf algebra of 2-colored parking functions.
LINKS
MAPLE
EULER([seq(c(n, n=1..20)]); # where c(n) is A141313.
MATHEMATICA
terms = 17;
s = (1 - 1/(1 + Sum[(n+1)^(n-1)*t^n, {n, 1, terms}]))/t + O[t]^(terms-1);
A141313 = 2^Range[terms-1]*CoefficientList[s, t];
did[m_, n_] := If[Mod[m, n] == 0, 1, 0];
EulerTransform[seq_] := Module[{coeff, final = {}}, coeff = Table[Sum[d* did[i, d]*seq[[d]], {d, 1, i}], {i, 1, Length[seq]}]; For[i = 1, i <= Length[seq], i++, AppendTo[final, (coeff[[i]] + Sum[coeff[[d]]*final[[i - d]], {d, 1, i-1}])/i]]; final];
Join[{1}, EulerTransform[A141313]] (* Jean-François Alcover, Feb 17 2019 *)
CROSSREFS
Cf. A141313.
Sequence in context: A292566 A365106 A053988 * A363481 A099933 A098437
KEYWORD
nonn
AUTHOR
Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Jun 26 2008
STATUS
approved

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Last modified March 29 04:59 EDT 2024. Contains 371264 sequences. (Running on oeis4.)