A216910 - OEIS

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A216910

Smallest palindromic number of length 17 in two bases differing by n.

1939137135947326, 8535888851411555386, 670814726929288547601

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OFFSET

1,1

COMMENTS

Smallest of pair of bases are 8, 13, 17. The 16-palindrome case for this collection of sequences only has the n=2 example--bases are 13 and 15--530386561769238496 as of the time of this submission (hence, no sequence for that length). A 1st term for 19-palindromes is also available. It is the even semiprime 6411682614162861146, which reads as 11759A6746476A95711 in base 11. See A216840 and A216841 for comments pertaining to entire collection of sequences.

LINKS

Table of n, a(n) for n=1..3.

EXAMPLE

The second term, 8535888851411555386 in decimal, is CA9BB36AAA63BB9AC in base 13 and is 1475E0C2C2C0E5741 in base 15 (employing the notation standard for hexadecimal).

CROSSREFS

Multi-base palindrome records: A171701, A171702, A171703, A171704, A171705, A171706, A171740, A171741, A171742, A171775.

Others in this collection: A216840, A216841, A216843, A216899, A216900, A216901, A216902, A216903, A216904, A216905, A216906, A216907, A216908, A216909.

Sequence in context: A204419 A067495 A335044 * A309111 A047698 A246252

Adjacent sequences: A216907 A216908 A216909 * A216911 A216912 A216913

KEYWORD

nonn,base,bref

AUTHOR

James G. Merickel, Sep 19 2012

STATUS

approved