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A193684 Alternating row sums of Sheffer triangle A143496 (4-restricted Stirling2 numbers). 1
1, 3, 8, 17, 17, -78, -585, -2021, -1710, 29395, 231413, 856264, -346979, -30019585, -232782792, -834712259, 2313820717, 59793779314, 469729578123, 1597321309383, -9914171906614, -206169178856073, -1697255630380351, -5677886943413120, 55801423903125353 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In order to have A143496 as a lower triangular Sheffer matrix one uses row and column offsets 0 (not 4).

LINKS

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

FORMULA

E.g.f.: exp(-exp(x)+4*x+1).

a(n) = exp(1) * Sum_{k>=0} (-1)^k * (k + 4)^n / k!. - Ilya Gutkovskiy, Dec 20 2019

EXAMPLE

With offset [0,0] row n=3 of A143496 is [64,61,15,1], hence a(3)=64-61+15-1=17.

CROSSREFS

Cf. A143496, A193683 (3-restricted Stirling2 case).

Sequence in context: A027291 A048952 A079666 * A308850 A048230 A294412

Adjacent sequences:  A193681 A193682 A193683 * A193685 A193686 A193687

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang, Oct 06 2011

STATUS

approved

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Last modified February 17 18:14 EST 2020. Contains 332005 sequences. (Running on oeis4.)