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A034178 Number of solutions to n = a^2-b^2, a>b>=0. +0
6
1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 3, 0, 1, 3, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 3, 3, 2, 0, 1, 1, 2, 0, 1, 3, 1, 0, 3, 1, 2, 0, 1, 3, 3, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 4, 1, 0, 3 (list; graph; listen)
OFFSET

1,9

COMMENT

Also, number of ways n can be expressed as the sum of consecutive odd numbers.(e.g. 45 = 45 = 13+15+17 = 5+7+9+11+13, so a(45)=3). - Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 26 2002

a(A042965(n))>0, a(A016825(n))=0; also number of occurrences of n in A094728. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 24 2004

LINKS

T. D. Noe, Table of n, a(n) for n=1..2000

FORMULA

a(2k) = A038548(2k)-A001227(k). a(2k+1) = A038548(2k+1). - Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 26 2002

CROSSREFS

Cf. A058957, A016825.

Adjacent sequences: A034175 A034176 A034177 this_sequence A034179 A034180 A034181

Sequence in context: A110475 A086971 A088434 this_sequence A131341 A074169 A099362

KEYWORD

easy,nonn,nice

AUTHOR

Erich Friedman (erich.friedman(AT)stetson.edu)

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


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