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A338400 Inverse boustrophedon transform of the partition numbers. 1
1, 0, 1, -2, 2, -19, 39, -257, 1113, -6829, 42399, -299550, 2281531, -18901042, 168402645, -1608304966, 16381456532, -177291076953, 2031597803009, -24573784682206, 312883002507064, -4182938253898882, 58584703430964506, -857812167322107132, 13106404407407087063 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..24.

Eric Weisstein's World of Mathematics, Boustrophedon Transform

Wikipedia, Boustrophedon transform

Index entries for sequences related to boustrophedon transform

FORMULA

a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * A000111(n-k) * A000041(k).

PROG

(Python)

import sympy

def A338400(n):

  T=[]

  for k in range(n+1):

    T.append(sympy.npartitions(k))

    T.reverse()

    for i in range(k):

      T[i+1]=T[i]-T[i+1]

  return T[-1]

CROSSREFS

Cf. A000041, A000111, A000751.

Sequence in context: A184317 A141084 A172194 * A093777 A326177 A103129

Adjacent sequences:  A338397 A338398 A338399 * A338401 A338402 A338403

KEYWORD

sign

AUTHOR

Pontus von Brömssen, Oct 24 2020

STATUS

approved

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Last modified June 21 04:47 EDT 2021. Contains 345355 sequences. (Running on oeis4.)