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A097756 Table read by rows of A054994 ordered by A046080.

%I A097756 #13 Feb 16 2025 08:32:54
%S A097756 1,5,25,125,65,625,3125,15625,325,78125,390625,1953125,1625,9765625,
%T A097756 48828125,4225,244140625,1105,8125,1220703125,6103515625,30517578125,
%U A097756 40625,152587890625,21125,762939453125,3814697265625,203125
%N A097756 Table read by rows of A054994 ordered by A046080.
%C A097756 Row n of table is A054994(k) such that A046080(A054994(k)) = n; number of terms in row n is A001055(2n+1).
%C A097756 Column 1 of table gives A006339 (or A046112).
%H A097756 Ray Chandler, <a href="/A097756/b097756.txt">Table of n, a(n) for n = 1..4522</a>, 1431 rows flattened.
%H A097756 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple</a>
%e A097756 Table begins:
%e A097756 0: 1,
%e A097756 1: 5,
%e A097756 2: 25,
%e A097756 3: 125,
%e A097756 4: 65,625,
%e A097756 5: 3125,
%e A097756 6: 15625,
%e A097756 7: 325,78125,
%e A097756 8: 390625,
%e A097756 9: 1953125,
%e A097756 10: 1625,9765625,
%e A097756 11: 48828125,
%e A097756 12: 4225,244140625,
%e A097756 13: 1105,8125,1220703125,
%e A097756 14: 6103515625,
%e A097756 15: 30517578125,
%e A097756 16: 40625,152587890625,
%e A097756 17: 21125,762939453125,
%e A097756 18: 3814697265625,
%e A097756 19: 203125,19073486328125,
%e A097756 20: 95367431640625,
%e A097756 ...
%Y A097756 Cf. A097751, A097752, A097753, A097754, A097755, A054994.
%K A097756 nonn,tabf
%O A097756 1,2
%A A097756 _Ray Chandler_, Aug 26 2004