login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A076602
a(1)=7, a(n_even)=(a(n-1)^2-1)/2; a(n_odd)=a(n-1)+1.
1
7, 24, 25, 312, 313, 48984, 48985, 1199765112, 1199765113, 719718163185951384, 719718163185951385, 258997117209879873736794713791709112, 258997117209879873736794713791709113, 33539753361514126736178628392779244498735703225085922505721228803623384
OFFSET
1,1
COMMENTS
{7, 24, 25}, {25, 312, 313}, {313, 48984, 48985}... are sides {a<b<c} of the right triangles, with hypotenuse c=b+1.
MATHEMATICA
nxt[{a_, b_}]:={a+1, If[OddQ[a], (b^2-1)/2, b+1]}; Transpose[NestList[nxt, {1, 7}, 15]][[2]] (* Harvey P. Dale, Dec 13 2011 *)
CROSSREFS
Sequence in context: A070410 A377011 A077035 * A287132 A287193 A076673
KEYWORD
easy,nonn
AUTHOR
Zak Seidov, Oct 21 2002
EXTENSIONS
More terms from Harvey P. Dale, Dec 13 2011
STATUS
approved