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A308518 Expansion of e.g.f. exp(1 - exp(1 - exp(x))). 1
1, 1, 1, 0, -4, -12, -3, 150, 744, 525, -16799, -118280, -148289, 4036802, 37244157, 68676153, -1758280309, -20207442595, -49855713746, 1245931950070, 17250366460410, 53991885230741, -1330935478357842, -21705274324058996, -83339285813776419, 2026672671500822591, 38327819123289163864 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n) = Sum_{k=0..n} (-1)^k*Stirling2(n,k)*A000587(k).

a(0) = 1; a(n) = -Sum_{k=1..n} binomial(n-1,k-1)*A000587(k)*a(n-k).

MATHEMATICA

nmax = 26; CoefficientList[Series[Exp[1 - Exp[1 - Exp[x]]], {x, 0, nmax}], x] Range[0, nmax]!

Table[Sum[(-1)^k StirlingS2[n, k] BellB[k, -1], {k, 0, n}], {n, 0, 26}]

a[n_] := a[n] = -Sum[Binomial[n - 1, k - 1] BellB[k, -1] a[n - k], {k, 1, n}]; a[0] = 1; Table[a[n], {n, 0, 26}]

CROSSREFS

Cf. A000258, A000587, A130410, A308519.

Sequence in context: A243347 A317555 A213343 * A307874 A230057 A205124

Adjacent sequences:  A308515 A308516 A308517 * A308519 A308520 A308521

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Jun 03 2019

STATUS

approved

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Last modified November 11 15:51 EST 2019. Contains 329019 sequences. (Running on oeis4.)