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A068601 n^3-1. +0
6
0, 7, 26, 63, 124, 215, 342, 511, 728, 999, 1330, 1727, 2196, 2743, 3374, 4095, 4912, 5831, 6858, 7999, 9260, 10647, 12166, 13823, 15624, 17575, 19682, 21951, 24388, 26999, 29790, 32767, 35936, 39303, 42874, 46655, 50652, 54871, 59318, 63999 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) is the least positive integer k such that k can only contain 'n-1' in exactly 2 different bases B, where 1<B<=k.

A129294(n) = number of divisors of a(n) that are not greater than n. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 09 2007

Apart from the first term, the same as A135300. R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 29 2008

FORMULA

Partial sums of A003215, hex (or centered hexagonal) numbers: 3n(n+1)+1. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 16 2006

EXAMPLE

For n=6; 215 written in bases 6 and 42 is 555, 55, and (555, 55) are exactly 2 different bases.

CROSSREFS

Cf. A000217, A005448, A016921.

Adjacent sequences: A068598 A068599 A068600 this_sequence A068602 A068603 A068604

Sequence in context: A128972 A135300 A024001 this_sequence A006325 A053346 A027964

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (n_nomoto(AT)yabumi.com), Mar 28 2002

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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