A131318 Sum of terms within one periodic pattern of that sequence representing the digital sum analog base n of the Fibonacci recurrence.

1, 2, 8, 30, 24, 120, 156, 126, 96, 234, 640, 88, 264, 416, 700, 630, 352, 680, 468, 304, 1200, 294, 572, 1150, 528, 2600, 2288, 1998, 1176, 290, 3660, 806, 1344, 1122, 1360, 2870, 792, 2960, 532, 2262, 2400, 1722, 1764, 3870, 1056, 5490, 2300, 1598

Offset

1,2

Comments

The respective period lengths are given by A001175(n-1) (which is the Pisano period to n-1) for n>=2.

Links

Table of n, a(n) for n=1..48.

Example

a(3)=8 since the digital sum analog base 3 of the Fibonacci sequence is 0,1,1,2,3,3,2,3,3,... where the pattern {2,3,3} is the periodic part (see A131294) and sums up to 2+3+3=8. a(4)=30 because the pattern base 4 is {2,3,5,5,4,3,4,4} (see A131295) which sums to 30.

Crossrefs

Cf. A000045, A131319, A131320.

See A010073, A010074, A010075, A010076, A010077, A131294, A131295, A131296, A131297 for the definition of the digital sum analog of the Fibonacci sequence (in different bases).

Sequence in context: A009419 A000162 A052437 * A010749 A299415 A364078

Adjacent sequences: A131315 A131316 A131317 * A131319 A131320 A131321

Keyword

nonn,base

Author

Hieronymus Fischer, Jul 03

Status

approved