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A002784 A problem in parity.
(Formerly M0401 N0154)
+0
2
1, 1, 1, 2, 3, 1, 1, 4, 5, 1, 3, 1, 3, 1, 1, 8, 15, 3, 7, 4, 5, 2, 3, 3, 6, 2, 3, 2, 3, 1, 1, 16, 19, 7, 10, 5, 15, 4, 5, 7, 15, 3, 7, 4, 5, 2, 3, 5, 13, 3, 5, 4, 7, 1, 3, 3, 5, 2, 3, 1, 3, 1, 1, 32, 47, 11, 31, 14, 21, 6, 15, 11, 31, 7, 9, 7, 12, 3, 7, 12, 21, 7, 15, 4, 11, 4, 5, 7, 15, 2, 7, 4, 5 (list; graph; listen)
OFFSET

1,4

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

H. Gupta, On a problem in parity, Indian J. Math., 11 (1969), 157-163. MR0260659

PROGRAM

(PARI) a(n)=if(n<1, 0, sum(k=1, n, if(gcd(n, k) == 1, ((n+k-1)!/(n!*k!))%2)))

CROSSREFS

Cf. A050169, A073166.

Sequence in context: A059247 A023570 A011249 this_sequence A166029 A049278 A131739

Adjacent sequences: A002781 A002782 A002783 this_sequence A002785 A002786 A002787

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

PARI code and more terms from Michael Somos, Jul 19 2002

page 1

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


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