A213189 Triangular numbers which are leg of a Pythagorean triple with hypotenuse in A213188.

6, 36, 91, 120, 210, 253, 300, 378, 528, 630, 1176, 2016, 2346, 3003, 3240, 3828, 4560, 4656, 4950, 5460, 6105, 6903, 7140, 7260, 8778, 10296, 11628, 13530, 14028, 14196, 15400, 17766, 19110, 23220, 23436, 24310, 25200, 26796, 32640, 34980, 41616, 43365, 44253, 52326, 55278

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Example

Triangular 91 and triangular 325 form a Pythagorean triple {325, 91, 312}.

Prog

(PARI) {for(i=1, 10^3, k=i+1; v=1; a=i*(i+1)/2; while(k<i*i&&v, b=k*(k+1)/2; if(issquare(b*b-a*a), v=0; print1(a, ", ")); k+=1))}

Crossrefs

Cf. A213188.

Sequence in context: A207026 A207171 A207454 * A080857 A108158 A207559

Adjacent sequences: A213186 A213187 A213188 * A213190 A213191 A213192

Keyword

nonn

Author

Antonio Roldán, Feb 28 2013

Status

approved