Search: id:A131318
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%I A131318
%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 analogue 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 analogue 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 analogue of the Fibonacci 
               sequence (in different bases).
%Y A131318 Sequence in context: A009419 A000162 A052437 this_sequence A010749 A127865 
               A077839
%Y A131318 Adjacent sequences: A131315 A131316 A131317 this_sequence A131319 A131320 
               A131321
%K A131318 nonn
%O A131318 1,2
%A A131318 Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jul 03

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