A322425 Start with (1, 2, 3, 4, 5); if the sequence has n terms, extend it by appending a(n) copies of a(1..n-1): cf. "Look to the left" sequence A293630.

1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1

Offset: 1

Author

Iain Fox, Dec 07 2018

Keywords

• nonn

Links

• Iain Fox, Table of n, a(n) for n = 1..10000

Crossrefs

"Look to the left" sequences: A293630 (seed 1,2), A322423 (seed 1,2,3), A322424 (seed 1,2,3,4).

Cf. A322426.

Programs

Mathematica

Nest[Join[#, Flatten@ ConstantArray[Drop[#, -1], #[[-1]]] ] &, Range@ 5, 2] (* Michael De Vlieger, Dec 08 2018 *)

PARI

gen(n, v=[1, 2, 3, 4, 5], w) = for(x=1, n, w=vector(#v-1, i, v[i]); for(y=1, v[#v], v=concat(v, w))); v

Formula

Lim_{n->infinity} (a(1) + a(2) + ... + a(n))/n = 2.55182072...

Extensions

Self-contained definition from M. F. Hasler, Dec 10 2018