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A306152 Inverse Weigh transform of n^n. 3
1, 4, 23, 227, 2800, 42599, 763220, 15734615, 366715248, 9533820200, 273549419552, 8586984284469, 292755986184548, 10772849584162694, 425587711650564816, 17966217347001535765, 807152054953801845760, 38451365602113718874568, 1936082850634342992601636 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..386

N. J. A. Sloane, Transforms

EXAMPLE

(1+x)*(1+x^2)^4*(1+x^3)^23*(1+x^4)^227* ... = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + ... .

MAPLE

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(binomial(a(i), j)*b(n-i*j, i-1), j=0..n/i)))

    end:

a:= n-> n^n-b(n, n-1):

seq(a(n), n=1..24);  # Alois P. Heinz, Jun 23 2018

CROSSREFS

Cf. A000312, A306154.

Sequence in context: A283499 A305787 A295234 * A292312 A316083 A326501

Adjacent sequences:  A306149 A306150 A306151 * A306153 A306154 A306155

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 23 2018

STATUS

approved

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Last modified April 6 12:08 EDT 2020. Contains 333273 sequences. (Running on oeis4.)