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A338398 Inverse boustrophedon transform of the primes. 1
2, 1, 1, -3, -1, -29, 33, -315, 1251, -7905, 48667, -344723, 2623549, -21739937, 193680399, -1849767375, 18840708855, -203907377005, 2336594492591, -28262970918841, 359855118160333, -4810909461068941, 67379837645787507, -986592769520379701 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..23.

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) * A000040(k+1).

PROG

(Python)

import sympy

def A338398(n):

  T=[]

  for k in range(n+1):

    T.append(sympy.prime(k+1))

    T.reverse()

    for i in range(k):

      T[i+1]=T[i]-T[i+1]

  return T[-1]

CROSSREFS

Cf. A000040, A000111, A000747.

Sequence in context: A318833 A173937 A046223 * A192181 A073463 A183568

Adjacent sequences:  A338395 A338396 A338397 * A338399 A338400 A338401

KEYWORD

sign

AUTHOR

Pontus von Brömssen, Oct 24 2020

STATUS

approved

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Last modified June 16 11:58 EDT 2021. Contains 345057 sequences. (Running on oeis4.)