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Search: id:A131318
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| A131318 |
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Sum of terms within one periodic pattern of that sequence representing the digital sum analogue base n of the Fibonacci recurrence. |
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+0
13
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| 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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The respective period lengths are given by A001175(n-1) (which is the Pisano period to n-1) for n>=2.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A000045, A131319, A131320.
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).
Adjacent sequences: A131315 A131316 A131317 this_sequence A131319 A131320 A131321
Sequence in context: A009419 A000162 A052437 this_sequence A010749 A127865 A077839
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KEYWORD
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nonn
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AUTHOR
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Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jul 03
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