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A036688 Number of distinct n-digit suffixes of base 10 squares not containing digit 0. 2
5, 18, 119, 698, 5449, 41735, 359207, 3085197, 27434602, 243921771 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

Amer. Math. Monthly, Vol. 5 (1898), p. 26, Problem 57; reprinted on p. 906 of Vol. 105 (1998).

EXAMPLE

Any square ends with one of [ 0 ], 1, 4, 5, 6, 9, so a(1) = 5.

a(3) = A000993(3) - a(2) - #{100,104,201,204,209,304,400,401,404,409,500,504,600,601,604,609,704,801,804,809,900,904} = 159 - 18 - 22 = 119, cf. A122986. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 21 2010]

CROSSREFS

Cf. A036788.

Sequence in context: A127756 A158455 A009442 * A009348 A009365 A140296

Adjacent sequences:  A036685 A036686 A036687 * A036689 A036690 A036691

KEYWORD

base,nonn,nice

AUTHOR

R. K. Guy (rkg(AT)cpsc.ucalgary.ca)

EXTENSIONS

Explanation and more terms from David W. Wilson (davidwwilson(AT)comcast.net).

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Last modified February 17 11:16 EST 2012. Contains 206011 sequences.