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A336668
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Numbers with decimal expansion d_1, ..., d_w such that d_k = d*_{k + d_k} for k = 1..w where d* is the w-periodic sequence with initial terms d_1, ..., d_w.
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6
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 20, 22, 24, 26, 28, 33, 40, 42, 44, 46, 48, 55, 60, 62, 64, 66, 68, 77, 80, 82, 84, 86, 88, 99, 111, 222, 300, 303, 306, 309, 330, 333, 336, 339, 360, 363, 366, 369, 390, 393, 396, 399, 444, 555, 600, 603, 606, 609, 630, 633
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listen;
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OFFSET
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1,3
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COMMENTS
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In other words, arranging the decimal digits of a term clockwise around a circle, any digit d, say at position p, appears at position p + d (or equivalently at position p - d).
All repunits (A002275) appear in this sequence, and they are the only terms with a digit 1.
All numbers with repeated digits (A010785) also appear in this sequence.
If m > 0 belongs to the sequence, then A020338(m) and A074842(m) also belong to the sequence.
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LINKS
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EXAMPLE
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We can arrange the decimal digits of 46064686 around a circle as follows:
. 4
. 6 6
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.
. 8 0
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. 6 6
. 4
- moving clockwise:
- the digit 4 in the north leads to the digit 4 in the south and vice versa,
- the digit 6 in the northeast leads to the digit 6 in the northwest,
- the digit 6 in the northwest leads to the digit 6 in the southwest,
- the digit 6 in the southwest leads to the digit 6 in the southeast,
- the digit 6 in the southeast leads to the digit 6 in the northeast,
- the digit 0 leads to itself,
- the digit 8 leads to itself (after a full turn),
- so 46064686 belongs to this sequence.
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PROG
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(PARI) See Links section.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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