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A011967 4th differences of Bell numbers. 3
4, 15, 67, 322, 1657, 9089, 52922, 325869, 2114719, 14418716, 103004851, 769052061, 5987339748, 48506099635, 408157244967, 3561086589202, 32164670915029, 300324194090773, 2894932531218482, 28773297907499129 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 0..250

Cohn, Martin; Even, Shimon; Menger, Karl, Jr.; Hooper, Philip K.; On the Number of Partitionings of a Set of n Distinct Objects, Amer. Math. Monthly 69 (1962), no. 8, 782--785. MR1531841.

Cohn, Martin; Even, Shimon; Menger, Karl, Jr.; Hooper, Philip K.; On the Number of Partitionings of a Set of n Distinct Objects, Amer. Math. Monthly 69 (1962), no. 8, 782--785. MR1531841. [Annotated scanned copy]

Jocelyn Quaintance and Harris Kwong, A combinatorial interpretation of the Catalan and Bell number difference tables, Integers, 13 (2013), #A29.

MATHEMATICA

Differences[BellB[Range[0, 50]], 4] (* Vladimir Joseph Stephan Orlovsky, May 25 2011 *)

PROG

(Python)

# requires python 3.2 or higher. Otherwise use def'n of accumulate in python docs.

from itertools import accumulate

A011967_list, blist, b = [4], [5, 7, 10, 15], 15

for _ in range(250):

....blist = list(accumulate([b]+blist))

....b = blist[-1]

....A011967_list.append(blist[-5]) # Chai Wah Wu, Sep 20 2014

CROSSREFS

Cf. A000110, A005493, A011965, A011966, A106436.

Sequence in context: A097422 A102129 A164310 * A250886 A055732 A125062

Adjacent sequences:  A011964 A011965 A011966 * A011968 A011969 A011970

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 5 17:42 EST 2019. Contains 329768 sequences. (Running on oeis4.)