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Search: id:A141439
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| A141439 |
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Positions at which disjoint pattern counts differ from overlapping pattern counts related to sequence A117127. |
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+0
3
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| 21, 22, 23, 45, 47, 55, 73, 85, 86, 90, 91, 95, 109, 110, 111, 119, 146, 170, 173, 181, 182, 187, 191, 219, 221, 223, 239, 247, 273, 307, 341, 342, 346, 362, 365, 375, 383, 409, 438, 443, 447, 477, 478, 479, 495, 503, 546, 585, 614, 660, 682, 685, 693, 725
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Diana Mecum, Table of n, a(n) for n = 1..131
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EXAMPLE
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When "n" = 21, the base two concatenated range of integers from 1 to 21 is "1101110010111011110001001101010111100110111101111100001000110010100111010010101". 21 in base two is "10101".
Note that there are two instances of "10101" in the concatenated number when disjoint patterns are considered. There are three pattern matches when overlapping patterns are considered.
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MATHEMATICA
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f[n_, k_] := StringCount[ ToString@ FromDigits@ Flatten@ IntegerDigits[ Range@n, 2], ToString@ FromDigits@ IntegerDigits[n, 2], Overlaps -> {True, False}[[k]]]; Select[ Range@ 725, f[ #, 1] != f[ #, 2] &] - Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 30 2008 *)
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CROSSREFS
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Cf. A117127.
Sequence in context: A056475 A165842 A004510 this_sequence A125737 A160782 A022391
Adjacent sequences: A141436 A141437 A141438 this_sequence A141440 A141441 A141442
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KEYWORD
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nonn
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AUTHOR
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Diana Mecum (diana.mecum(AT)gmail.com), Aug 06 2008
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