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A005490 From expansion of falling factorials.
(Formerly M3467)
0
1, 4, 13, 44, 163, 666, 2985, 14550, 76497, 430746, 2582447, 16403028, 109918745, 774289168, 5715471605, 44087879136, 354521950931, 2965359744446, 25749723493073, 231719153184018, 2157494726318233, 20753996174222510, 205985762120971167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..23.

E. G. Whitehead, Jr., Stirling number identities from chromatic polynomials, J. Combin. Theory, A 24 (1978), 314-317.

FORMULA

a(n) = Sum_{i=1..n} b(n, i) where b(n, 1) = n and b(n+1, i+1) = (n-i) * b(n, i) + b(n+1, i) [From Whitehead]. - Sean A. Irvine, Jul 01 2016

CROSSREFS

Sequence in context: A149430 A124463 A081197 * A174299 A285188 A192255

Adjacent sequences:  A005487 A005488 A005489 * A005491 A005492 A005493

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Simon Plouffe

EXTENSIONS

More terms from Sean A. Irvine, Jul 01 2016

STATUS

approved

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Last modified April 5 10:20 EDT 2020. Contains 333239 sequences. (Running on oeis4.)