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A023549
Convolution of natural numbers >= 2 and Lucas numbers.
0
2, 9, 21, 43, 80, 142, 244, 411, 683, 1125, 1842, 3004, 4886, 7933, 12865, 20847, 33764, 54666, 88488, 143215, 231767, 375049, 606886, 982008, 1588970, 2571057, 4160109, 6731251, 10891448, 17622790, 28514332, 46137219, 74651651, 120788973, 195440730, 316229812
OFFSET
1,1
FORMULA
G.f.: [x(2-x)(1+2x)]/[(1-x-x^2)(1-x)^2]. - Ralf Stephan, Apr 05 2004
a(n) = -13-3*n+5*A020701(n). - R. J. Mathar, May 22 2013
MATHEMATICA
LinearRecurrence[{3, -2, -1, 1}, {2, 9, 21, 43}, 50] (* Paolo Xausa, Feb 02 2024 *)
CROSSREFS
Cf. A020701.
Sequence in context: A005476 A316430 A131476 * A192971 A024850 A237044
KEYWORD
nonn
STATUS
approved