A308196 Partial sums of A063808.

1, 5, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, 97, 103, 109, 115, 121, 127, 133, 139, 145, 151, 157, 163, 169, 175, 181, 187, 193, 199, 205, 211, 217, 223, 229, 235, 241, 247, 253, 259, 265, 271, 277, 283, 289, 295, 301, 307, 313, 319, 325, 331, 337, 343, 349, 355

Offset: 0

Author

N. J. A. Sloane, Jun 21 2019

Keywords

• nonn
• easy

Comments

Growth series for Z as generated by {2, 3}.

References

• Avinoam Mann, How Groups Grow, London Mathematical Society Lecture Note Series, Vol. 335, Cambridge University Press, 2012; ISBN: 1107657504,9781107657502. See Example 6, page 3.

Links

• Paolo Xausa, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A063808, A016921, A271114.

Programs

Mathematica

Accumulate[PadRight[{1,4,8},100,6]] (* Paolo Xausa, Nov 14 2023 *)

Formula

a(n) = A271114(n) = A016921(n) = 6n+1 for n>=2. - R. J. Mathar, Jul 22 2021