

A167293


Long legs of Pythagorean triangles that are not divisible by any other long leg of a Pythagorean triangle.


0



4, 15, 21, 35, 55, 77, 91, 99, 117, 143, 153, 171, 187, 209, 221, 247, 253, 299, 323, 325, 377, 391, 403, 425, 437, 475, 493, 527, 551, 575, 589, 621, 629, 667, 697, 703, 713, 725, 775, 779, 783, 817, 837, 851, 899, 925, 943, 957, 989, 999, 1023, 1025, 1073
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OFFSET

1,1


COMMENTS

All long legs of Pythagorean triangles (A009023) are multiples of these values, so these values can be thought of as "primes" of the sequence of long legs.


LINKS

Table of n, a(n) for n=1..53.


PROG

(PARI) llp = vector(60); np = 1; llp[np] = 4;
notdiv(k) = for(j=1, np, if(k%llp[j], 1, return(0))); return(1);
isLongLeg(n) = local(b); b=0; for(k=1, n1, if(issquare(k^2+n^2), b=1)); return(b);
for(k=4, 1175, if(notdiv(k), if(isLongLeg(k), np+=1; llp[np]=k)))
for(n=1, 60, print1(llp[n], ", "))


CROSSREFS

A009023
Sequence in context: A297711 A055465 A209870 * A267769 A192201 A054308
Adjacent sequences: A167290 A167291 A167292 * A167294 A167295 A167296


KEYWORD

nonn


AUTHOR

Gerald McGarvey, Nov 01 2009


EXTENSIONS

Comments and PARI program corrected by Gerald McGarvey, Nov 03 2009


STATUS

approved



