cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A131318 #11 Jul 10 2015 19:56:48
%S A131318 1,2,8,30,24,120,156,126,96,234,640,88,264,416,700,630,352,680,468,
%T A131318 304,1200,294,572,1150,528,2600,2288,1998,1176,290,3660,806,1344,1122,
%U A131318 1360,2870,792,2960,532,2262,2400,1722,1764,3870,1056,5490,2300,1598
%N A131318 Sum of terms within one periodic pattern of that sequence representing the digital sum analog base n of the Fibonacci recurrence.
%C A131318 The respective period lengths are given by A001175(n-1) (which is the Pisano period to n-1) for n>=2.
%e A131318 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.
%Y A131318 Cf. A000045, A131319, A131320.
%Y A131318 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).
%K A131318 nonn,base
%O A131318 1,2
%A A131318 _Hieronymus Fischer_, Jul 03