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A023613 Convolution of Fibonacci numbers and A023533. 2
1, 1, 2, 4, 6, 10, 16, 26, 42, 69, 111, 180, 291, 471, 762, 1233, 1995, 3228, 5223, 8452, 13675, 22127, 35802, 57929, 93731, 151660, 245391, 397051, 642442, 1039493, 1681935, 2721428, 4403363, 7124791 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Danny Rorabaugh, Table of n, a(n) for n = 0..4000

FORMULA

a(n-1) = Sum_{k=1..n} A000045(k)*A023533(n+1-k). - Danny Rorabaugh, Mar 13 2015

PROG

(Sage) #Assuming A023533 is available as an array

for n in range(34):

    print(n, sum([A023533[k]*fibonacci(n+2-k) for k in range(1, n+2)]))

# Danny Rorabaugh, Mar 14 2015

CROSSREFS

Cf. A000045, A023533.

Sequence in context: A080432 A094985 A128588 * A306293 A307795 A065795

Adjacent sequences:  A023610 A023611 A023612 * A023614 A023615 A023616

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified April 8 15:38 EDT 2020. Contains 333314 sequences. (Running on oeis4.)