

A083390


m such that 2m + 1 divides lcm(1,3,5,...,2m  1).


0



7, 10, 16, 17, 19, 22, 25, 27, 28, 31, 32, 34, 37, 38, 42, 43, 45, 46, 47, 49, 52, 55, 57, 58, 59, 61, 64, 66, 67, 70, 71, 72, 73, 76, 77, 79, 80, 82, 85, 87, 88, 91, 92, 93, 94, 97, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 112, 115, 117, 118, 122, 123, 124, 126
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OFFSET

1,1


COMMENTS

Also m for which A025547(m)=A025547(m+1). Query: a(n) seems to be equal to A030343(n+4)  1. Is this true?
While any odd number>1 can be the leg of a primitive Pythagorean triangle, the mth odd number 2m+1=A061346 forms leg common to more than one PPT.  Lekraj Beedassy, Jul 12 2006


LINKS

Table of n, a(n) for n=1..64.


FORMULA

a(n) = (A061346(n)1)/2.  David Wasserman, Oct 26 2004


EXAMPLE

10 is in the sequence because we have 2*10  1 = 19 and lcm(1,3,5,...,19)=166966608033225=7950790858725*21 which is divisible by 2*10 + 1 = 21.


PROG

(PARI) isok(n) = {lc = 1; for (i = 1, 2*n1, lc = lcm(lc, i); ); return (lc % (2*n+1) == 0); } \\ Michel Marcus, Jul 27 2013


CROSSREFS

Cf. A080765.
Sequence in context: A020743 A088350 A085382 * A234093 A287567 A301451
Adjacent sequences: A083387 A083388 A083389 * A083391 A083392 A083393


KEYWORD

nonn


AUTHOR

Lekraj Beedassy, Jun 11 2003


EXTENSIONS

More terms from David Wasserman, Oct 26 2004


STATUS

approved



