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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; text; internal format)
OFFSET

1,3

REFERENCES

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

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(n) = Sum_{k=0..n} E(n,k) A000027(k), 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); # Zerinvary Lajos, Dec 22 2008

CROSSREFS

Cf. A001147, A008517.

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

Sequence in context: A151344 A015683 A000357 * A051577 A124564 A260952

Adjacent sequences:  A102144 A102145 A102146 * A102148 A102149 A102150

KEYWORD

nonn

AUTHOR

Ross La Haye, Feb 14 2005

STATUS

approved

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Last modified July 17 20:45 EDT 2019. Contains 325109 sequences. (Running on oeis4.)