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A102147 Second Eulerian transform of 1,2,3,4,5....[A000027]. 0
1, 1, 5, 35, 315, 3465, 45045, 675675, 11486475, 218243025, 4583103525, 105411381075, 2635284526875, 71152682225625, 2063427784543125, 63966261320836875, 2110886623587616875, 73881031825566590625 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 256.

FORMULA

a(n) = Sum[E(n, k)A000027[k], k=0...n], where E(n, k) is a second-order Eulerian number [A008517].

MAPLE

with(finance):seq(mul(cashflows([k, k, 1], 0), k=2..n), n=0..22); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]

CROSSREFS

Cf. A001147, A008517.

Apparently equals A051577(n-2), n>1.

Sequence in context: A015683 A000357 A051577 * A124564 A113342 A201367

Adjacent sequences:  A102144 A102145 A102146 * A102148 A102149 A102150

KEYWORD

nonn

AUTHOR

Ross La Haye (rlahaye(AT)new.rr.com), Feb 14 2005

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Last modified February 13 17:27 EST 2012. Contains 205523 sequences.