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A238314 Binomial transform of the squared rows of the table A072233 (A008284). 1
1, 1, 3, 7, 33, 91, 388, 1163, 4231, 13297, 44694, 136621, 444535, 1335335, 4149785, 12327698, 37154245, 108185961, 318923590, 913506701, 2633793550, 7443298426, 21073435606, 58715695683, 163805615535, 450730653566, 1239947467778, 3374934052348 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..80

FORMULA

a(n) = sum(binomial(n,k)*p(n,k)^2,k=0..n), where p(n,k) is the number of partitions of n into k positive parts (A072233, A008284).

MATHEMATICA

pnkList[n_] := Table[Length[IntegerPartitions[n, {k}]], {k, 0, n}]

Table[Total[Table[Binomial[n, k], {k, 0, n}] Map[#^2 &, pnkList[n]]], {n, 0, 40}]

CROSSREFS

Cf. A072233, A008284.

Sequence in context: A241147 A143967 A007646 * A120566 A057480 A051256

Adjacent sequences:  A238311 A238312 A238313 * A238315 A238316 A238317

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Feb 24 2014

STATUS

approved

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Last modified August 21 23:28 EDT 2019. Contains 326169 sequences. (Running on oeis4.)