A070745 z such that the Diophantine equation x^2 + y^3 = z^2 has solutions.

3, 6, 10, 14, 15, 17, 21, 24, 28, 29, 35, 36, 42, 43, 45, 48, 55, 57, 60, 62, 63, 66, 76, 78, 80, 81, 90, 91, 99, 105, 112, 118, 119, 120, 123, 127, 129, 132, 136, 140, 141, 143, 147, 153, 154, 155, 161, 162, 165, 168, 171, 172, 179, 185, 190, 192, 195, 209, 210

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

42 is in the sequence because 6^2 + 12^3 = 42^2.

Prog

(PARI) for(n=0, 350, if(sum(i=1, n, sum(j=1, n, if(i^2+j^3-n^2, 0, 1)))>0, print1(n, ", ")))

Crossrefs

Sequence in context: A083505 A099588 A099531 * A134535 A078060 A310057

Adjacent sequences: A070742 A070743 A070744 * A070746 A070747 A070748

Keyword

easy,nonn

Author

Benoit Cloitre, May 14 2002

Extensions

Corrected and edited by John W. Layman, May 21 2002

Status

approved