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A056825 Numbers n such that no smaller natural number has the same maximal palindrome in the period of the simple continued fraction for its square root. 1
2, 3, 6, 7, 11, 13, 14, 18, 19, 21, 22, 23, 27, 28, 29, 31, 34, 38, 41, 43, 44, 45, 46, 47, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 66, 67, 69, 70, 71, 73, 76, 77, 79, 83, 85, 86, 88, 89, 91, 92, 93, 94, 97, 98, 102, 103, 106, 107, 109, 111, 113, 114, 115, 116, 118, 119 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

O. Perron, "Die Lehre von den Kettenbruechen, Bd.I", Teubner, 1954. (Sec. 26)

LINKS

Table of n, a(n) for n=1..66.

L. Smiley, Initial Euler - Muir Polynomials

EXAMPLE

33,60 and 95 are not in the list because their square roots' simple continued fractions, [5,1,2,1,10,1,2,1,10,...],[7,1,2,1,14,...] and [9,1,2,1,18,...], have the same maximal palindrome in their periods as the square root of 14, [3,1,2,1,6,1,2,1,6,...] does.

CROSSREFS

Sequence in context: A024561 A274546 A113545 * A056956 A171033 A269983

Adjacent sequences:  A056822 A056823 A056824 * A056826 A056827 A056828

KEYWORD

nonn

AUTHOR

Len Smiley, Aug 29 2000

EXTENSIONS

More terms from Naohiro Nomoto, Nov 09 2001

STATUS

approved

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Last modified December 11 04:58 EST 2016. Contains 279034 sequences.