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A106460 Binomial transform of A090039. 0
1, 3, 11, 42, 161, 611, 2298, 8596, 32062, 119413, 444416, 1653314, 6149281, 22868510, 85039306, 316215941, 1175812311, 4372067762, 16256716467, 60447335192, 224760809887, 835725230965, 3107464378235, 11554433256642, 42962649080798, 159747256982142 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)/a(n-1) tends to e+1; e.g., a(14)/a(13) = 3.71889168...; whereas A090039(n)/A090039(n-1) tends to e.

LINKS

Table of n, a(n) for n=1..26.

R. Witula, P. Lorenc, M. Rozanski, M. Szweda, Sums of the rational powers of roots of cubic polynomials, Zeszyty Naukowe Politechniki Slaskiej, Seria: Matematyka Stosowana z. 4, Nr. kol. 1920, 2014.

EXAMPLE

a(4) = 42 = 1*1 + 3*2 + 3*6 + 1*17; where 1, 2, 6, 17...are the first 4 terms of A090039.

CROSSREFS

Cf. A090039.

Sequence in context: A225431 A099489 A077830 * A319512 A279704 A301483

Adjacent sequences:  A106457 A106458 A106459 * A106461 A106462 A106463

KEYWORD

nonn

AUTHOR

Gary W. Adamson, May 02 2005

EXTENSIONS

More terms from Arkadiusz Wesolowski, Apr 24 2012

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)