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A075923 Fourth column of triangle A075502. 2
1, 70, 3185, 120050, 4084101, 130590390, 4012419145, 120031392250, 3525181576301, 102196720335710, 2935410756419505, 83751552660170850, 2377917929557166101, 67273652916778177030, 1898215473677945050265 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The e.g.f. given below is Sum_{m=0..3} A075513(4,m)*exp(7*(m+1)*x)/3!.

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) = A075502(n+4, 4) = (7^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).

a(n) = (-7^n + 24*14^n - 81*21^n + 64*28^n)/3!.

G.f.: 1/Product_{k=1..4} (1 - 7*k*x).

E.g.f.: (d^4/dx^4)(((exp(7*x)-1)/7)^4)/4! = (-exp(7*x) + 24*exp(14*x) - 81*exp(21*x) + 64*exp(28*x))/3!.

CROSSREFS

Cf. A075922, A075924.

Sequence in context: A004377 A069296 A349466 * A089274 A266739 A227273

Adjacent sequences:  A075920 A075921 A075922 * A075924 A075925 A075926

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 02 2002

STATUS

approved

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Last modified August 9 12:34 EDT 2022. Contains 356026 sequences. (Running on oeis4.)