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A079282 Diagonal sums of triangle A055249. 2
1, 3, 9, 24, 61, 149, 354, 823, 1881, 4240, 9449, 20857, 45666, 99291, 214589, 461336, 987221, 2103917, 4467394, 9454895, 19951601, 41989408, 88155409, 184670769, 386072386, 805624179, 1678235829, 3490492968, 7249103581, 15034563845 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-7,0,4).

FORMULA

a(n) = sum(sum((k+1)binomial(n-j, n-2j-k), k, 0, n-2j), j, 0, floor(n/2))

a(n) = (n-1)*2^n + F(n+3), with F(n) = A000045(n). - Ralf Stephan, May 09 2004

G.f.: (1-x)^2 / ((1-2*x)^2 * (1-x-x^2)). [Joerg Arndt, Aug 05 2013]

MATHEMATICA

Table[(n - 1) 2^n + Fibonacci[n + 3], {n, 0, 30}] (* Vincenzo Librandi, Aug 05 2013 *)

PROG

(MAGMA) [(n-1)*2^n + Fibonacci(n+3): n in [0..30]]; // Vincenzo Librandi, Aug 05 2013

CROSSREFS

Cf. A055249.

Sequence in context: A228820 A003262 A189162 * A117585 A317474 A279978

Adjacent sequences:  A079279 A079280 A079281 * A079283 A079284 A079285

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Feb 08 2003

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)