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A265022 Row sums of the Bell transform of the complementary Bell numbers (A264435). 0
1, 1, 0, -2, -1, 12, 20, -113, -430, 1278, 10821, -10234, -317048, -384915, 10352420, 42836466, -340348905, -3180089128, 8045616512, 219303897655, 301713947470, -14401913182942, -84197219028827, 824481606288554, 11426928115546036, -23133559937561187 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..25.

Peter Luschny, The Bell transform

MATHEMATICA

Table[Sum[BellY[n, k, BellB[Range[n] - 1, -1]], {k, 0, n}], {n, 0, 30}] (* Vladimir Reshetnikov, Nov 09 2016 *)

PROG

(Sage) # uses[bell_transform from A264428]

def A265022_list(len):

uno = [1]*len

complementary_bell_numbers = [sum((-1)^n*b for (n, b) in enumerate (bell_transform(n, uno))) for n in range(len)]

return [sum(bell_transform(n, complementary_bell_numbers)) for n in range(len)]

A265022_list(26)

CROSSREFS

Cf. A000587 (complementary Bell numbers), A264428, A264435, A265023, A265024.

Sequence in context: A164826 A055392 A045873 * A110060 A061081 A007368

Adjacent sequences: A265019 A265020 A265021 * A265023 A265024 A265025

KEYWORD

sign

AUTHOR

Peter Luschny, Dec 01 2015

STATUS

approved

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Last modified January 27 12:24 EST 2023. Contains 359840 sequences. (Running on oeis4.)