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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
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
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
KEYWORD
nonn
AUTHOR
Gary W. Adamson, May 02 2005
EXTENSIONS
More terms from Arkadiusz Wesolowski, Apr 24 2012
STATUS
approved