A011967 4th differences of Bell numbers.

4, 15, 67, 322, 1657, 9089, 52922, 325869, 2114719, 14418716, 103004851, 769052061, 5987339748, 48506099635, 408157244967, 3561086589202, 32164670915029, 300324194090773, 2894932531218482, 28773297907499129

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: A164310 A369486 A392976 * A250886 A391060 A055732

Adjacent sequences: A011964 A011965 A011966 * A011968 A011969 A011970

Keyword

nonn

Author

N. J. A. Sloane

Status

approved