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A294253 E.g.f.: exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4)*(1+x^5) - 1). 3
1, 1, 3, 19, 121, 1041, 9931, 106723, 1313649, 17830081, 265652371, 4259421651, 74011854313, 1374298028689, 27230459440731, 573414615381091, 12723857450638561, 297915550887491073, 7328943525355675939, 188820746254730967571, 5086439179764958688601 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
Recurrence: a(n) = a(n-1) + 2*(n-1)*a(n-2) + 6*(n-2)*(n-1)*a(n-3) + 8*(n-3)*(n-2)*(n-1)*a(n-4) + 15*(n-4)*(n-3)*(n-2)*(n-1)*a(n-5) + 18*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-6) + 21*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-7) + 24*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-8) + 27*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-9) + 30*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 10) + 22*(n - 10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 11) + 24*(n - 11)*(n - 10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 12) + 13*(n - 12)*(n - 11)*(n - 10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 13) + 14*(n - 13)*(n - 12)*(n - 11)*(n - 10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 14) + 15*(n - 14)*(n - 13)*(n - 12)*(n - 11)*(n - 10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n - 15). - Vaclav Kotesovec, Dec 02 2021
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Exp[Times@@(1+x^Range[5])-1], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 16 2023 *)
PROG
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4)*(1+x^5)-1)))
CROSSREFS
Column k=5 of A294250.
Cf. A294216.
Sequence in context: A138977 A163605 A294252 * A293840 A327674 A318811
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 26 2017
STATUS
approved

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Last modified February 22 20:11 EST 2024. Contains 370261 sequences. (Running on oeis4.)