A106460 Binomial transform of A090039.

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

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: A359248 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