

A213770


Antidiagonal sums of the convolution array A213768.


3



1, 7, 23, 58, 126, 250, 467, 837, 1457, 2484, 4172, 6932, 11429, 18739, 30603, 49838, 81002, 131470, 213175, 345425, 559461, 905832, 1466328, 2373288, 3840841, 6215455, 10057727, 16274722, 26334102, 42610594, 68946587, 111559197
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OFFSET

1,2


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (4,5,1,2,1).


FORMULA

a(n) = 4*a(n1)  5*a(n2) + a(n3) + 2*a(n4)  a(n5).
G.f.: f(x)/g(x), where f(x) = x*(1 + 3*x) and g(x) = (1  x  x^2)(1  x)^3.
a(n) = 2*Fibonacci(n+6) + Lucas(n+4)  n*(2*n + 11)  23.  Ehren Metcalfe, Jul 08 2019


MATHEMATICA

(See A213768.)


PROG

(MAGMA) [2*Fibonacci(n+6)+Lucas(n+4)n*(2*n+11)23: n in [1..35]]; // Vincenzo Librandi, Jul 09 2019


CROSSREFS

Cf. A213768, A213500.
Sequence in context: A151718 A027918 A058195 * A235683 A037165 A126284
Adjacent sequences: A213767 A213768 A213769 * A213771 A213772 A213773


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Jun 21 2012


STATUS

approved



