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A372302
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Numbers k for which the Zeckendorf representation A014417(k) ends with "1001".
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1
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6, 19, 27, 40, 53, 61, 74, 82, 95, 108, 116, 129, 142, 150, 163, 171, 184, 197, 205, 218, 226, 239, 252, 260, 273, 286, 294, 307, 315, 328, 341, 349, 362, 375, 383, 396, 404, 417, 430, 438, 451, 459, 472, 485, 493, 506, 519, 527, 540, 548, 561, 574, 582, 595, 603
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = a(n-1) + 8 + 5*A005614(n-2) = a(n-1) + F(6) + F(5)*A005614(n-2), n > 1, where F(k) is the k-th Fibonacci number (A000045).
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CROSSREFS
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Tree of Zeckendorf subsequences of positive integers partitioned by their suffix part S (except initial term or offset in some cases). $ is the empty string. length(S) =
0 1 2 3 4 5 6 7
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$: 0: 00: 000: 0000: 00000: 000000:
100000: 0100000:
10000:
1000: 01000:
10: 010: 0010:
1010: 01010:
100: 0100:
1: 01: 001: 0001:
1001: 01001:
101: 0101:
Suffixes 10^n, where ^ means n times repeated concatenation, are the (n+1)-th columns in the Wythoff array A083412 and A035513 (n >= 0).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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