A005372 a(n) = L(L(n+1)+1), where L(n) are Lucas numbers A000032. (Formerly M2628)

3, 7, 11, 47, 322, 9349, 1860498, 10749957122, 12360848946698171, 82123488809519507169850807, 627376215338105766356982006981782561278127, 31842547163971605907183271059340725709462269514762215168643703957079

Offset

0,1

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Alois P. Heinz, Table of n, a(n) for n = 0..16

Maple

L:= n-> (<<0|1>, <1|1>>^(n). <<2, 1>>)[1, 1]:
a:= n-> L(L(n+1)+1):
seq(a(n), n=0..12);  # Alois P. Heinz, Jun 01 2016

Mathematica

LucasL[1 +LucasL[Range[16]]] (* G. C. Greubel, Nov 14 2022 *)

Prog

(Magma) [Lucas(1+Lucas(n+1)): n in [0..15]]; // G. C. Greubel, Nov 14 2022
(SageMath) [lucas_number2(1+lucas_number2(n+1, 1, -1), 1, -1) for n in range(15)] # G. C. Greubel, Nov 14 2022

Crossrefs

Cf. A000032, A005371.

Sequence in context: A333421 A358311 A217383 * A125220 A016081 A287301

Adjacent sequences: A005369 A005370 A005371 * A005373 A005374 A005375

Keyword

nonn

Author

N. J. A. Sloane

Extensions

a(8) onwards corrected by Sean A. Irvine, Jun 01 2016

Name edited by Alois P. Heinz, Jun 01 2016

Status

approved