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A033817 Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -4. 0
7, 10, 16, 21, 28, 36, 47, 62, 84, 117, 168, 248, 375, 578, 904, 1429, 2276, 3644, 5855, 9430, 15212, 24565, 39696, 64176, 103783, 167866, 271552, 439317, 710764, 1149972 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n) = L(-1)*(F(n+1)-1)+L(-2)*F(n)-L(-3)*n, F(n): Fibonacci (A000045), L(n): Lucas (A000032) with L(-n)=(-1)^n*L(n)

G.F. x*(7-11*x)/((1-x-x^2)*(1-x)^2), 7=L(-4), -11=+L(-5).

CROSSREFS

Cf. A023548, A023537, A033814.

Sequence in context: A088350 A085382 A083390 * A175666 A098748 A020692

Adjacent sequences:  A033814 A033815 A033816 * A033818 A033819 A033820

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 13 18:14 EST 2012. Contains 205534 sequences.