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A084177 Binomial transform of Jacobsthal oblongs. 2
0, 1, 5, 27, 137, 691, 3465, 17347, 86777, 433971, 2170025, 10850467, 54253017, 271266451, 1356334985, 6781680387, 33908412857, 169542086131, 847710474345, 4238552459107, 21192762470297, 105963812701011, 529819064204105 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of A084175.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (6,-3,-10).

FORMULA

a(n) = (2*5^n - (-1)^n - 2^n)/9.

G.f.: x*(1-x)/((1+x)*(1-2*x)*(1-5*x)).

a(n) = 6*a(n-1) - 3*a(n-2) - 10*a(n-3).

E.g.f.: (2*exp(5*x) - exp(2*x) - exp(-x))/9.

PROG

(MAGMA) [(2*5^n-(-1)^n-2^n)/9: n in [0..35]]; // Vincenzo Librandi, Jul 05 2011

CROSSREFS

Cf. A001045.

Sequence in context: A275540 A037498 A198771 * A037675 A221673 A257061

Adjacent sequences:  A084174 A084175 A084176 * A084178 A084179 A084180

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 18 2003

STATUS

approved

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Last modified February 25 08:21 EST 2020. Contains 332221 sequences. (Running on oeis4.)