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A004144 Nonhypotenuse numbers (squares are not sums of 2 distinct nonzero squares).
(Formerly M0542)
+0
13
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 19, 21, 22, 23, 24, 27, 28, 31, 32, 33, 36, 38, 42, 43, 44, 46, 47, 48, 49, 54, 56, 57, 59, 62, 63, 64, 66, 67, 69, 71, 72, 76, 77, 79, 81, 83, 84, 86, 88, 92, 93, 94, 96, 98, 99, 103, 107, 108, 112, 114, 118, 121, 124, 126, 127 (list; graph; listen)
OFFSET

1,2

COMMENT

Also numbers with no prime factors of form 4*k+1.

m is a term iff A072438(m) = m.

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 98-104.

D. Shanks, Non-hypotenuse numbers, Fib. Quart., 13 (1975), 319-321.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

S. R. Finch, Landau-Ramanujan Constant

Eric Weisstein's World of Mathematics, Pythagorean Triple

Index entries for sequences related to sums of squares

CROSSREFS

Complement of A009003.

Sequence in context: A004439 A050126 A013939 this_sequence A124391 A050118 A081754

Adjacent sequences: A004141 A004142 A004143 this_sequence A004145 A004146 A004147

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2002

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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