A127208 -id:A127208 - cp's OEIS frontend

A127232 Eulerian numbers A000295 appearing in the intersection of Fibonacci and Lucas sequences A124168 and A127208.

1, 120, 524268, 140737488355280, 2596148429267413814265248164609936, 57896044618658097711785492504343953926634992332820282019728792003956564819712

Offset: 1

T. D. Noe, Jan 09 2007

nonn

a(n) is common to the r-step Fibonacci sequence and the s-step Lucas sequence for s=A001792(n)-2 and r=s-n+1. See A127208 for more information about the intersection of Fibonacci and Lucas sequences.

			a(2)=120 appears in the 5-step Fibonacci sequence A001591 and the 6-step Lucas sequence A074584. a(3)=524268 appears in the 16-step Fibonacci sequence and the 18-step Lucas sequence.

Vincenzo Librandi, Table of n, a(n) for n = 1..8 (shortened by _N. J. A. Sloane_, Jan 13 2019)

Cf. A000295, A001591, A074584, A124168, A127208.

[2^((n+2)*2^(n-1)-1)-(n+2)*2^(n-1): n in [1..7]]; // Vincenzo Librandi, Aug 26 2011

a(n) = my(k=(n+2)*2^(n-1)); 2^(k-1)-k; \\ Michel Marcus, Mar 25 2016

a(n) = 2^(k-1)-k for k=A001792(n).

A227885 Primes in the union of all n-step Lucas sequences.

Original entry on oeis.org

2, 3, 7, 11, 29, 31, 47, 71, 113, 127, 131, 191, 199, 223, 239, 241, 367, 439, 443, 521, 863, 983, 1013, 1499, 1871, 2003, 2207, 3571, 6553, 8087, 8191, 9349, 16369, 32647, 32707, 36319, 63487, 65407, 65519, 122401, 126719, 131071, 196331, 260111, 524287

Offset: 1

Robert Price, Oct 25 2013

nonn

T. D. Noe, Table of n, a(n) for n = 1..1000 (first 383 terms from Robert Price)
Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas n-step Sequences, J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4

Cf. A127208, A000032, A001644, A073817, A074048, A074584, A104621, A105754, A105755.

plst={2}; plimit=10^39; For[n=2, n<=3+Log[2,plimit], n++, llst={}; For[i=1, i

2 and the primes in A127208.

cp's OEIS Frontend

A127232 Eulerian numbers A000295 appearing in the intersection of Fibonacci and Lucas sequences A124168 and A127208.

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