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%I #15 Dec 21 2024 18:37:31
%S 1,48841,151757761,7148452448281,22211509021338121,
%T 1046258952151234702321,3250912043200499426917081,
%U 153132136343696050161247674961,475808694603918281112156880430641
%N The perfect square integer sum of a square block of integers, with 1 at the top-left corner, on a diagonally numbered 2D board.
%C See A336186 for the corresponding square edge length and an explanation of the sequence. Note that the currently known terms all end in 1.
%H Eric Angelini, <a href="https://cinquantesignes.blogspot.com/2020/06/prime-squares.html">Prime squares and square squares</a>, personal blog "Cinquante signes", Jun. 29, 2020.
%H Eric Angelini, <a href="/A336186/a336186.pdf">Prime squares and square squares</a>, personal blog "Cinquante signes", Jun. 29, 2020. [Cached copy]
%e a(1) = 1 = 1^2.
%e a(2) = 48841 = 221^2.
%e a(3) = 151757761 = 12319^2.
%e a(4) = 7148452448281 = 2673659^2.
%e a(5) = 22211509021338121 = 149035261^2.
%e a(6) = 1046258952151234702321 = 32345926361^2.
%e a(7) = 3250912043200499426917081 = 1803028575259^2.
%e a(8) = 153132136343696050161247674961 = 391321014441719^2.
%e a(9) = 475808694603918281112156880430641 = 21813039554448121^2.
%e See A336186 for a diagram of the 2D board and examples.
%Y Cf. A336186, A185505, A000290, A000124, A000217.
%K nonn,more
%O 1,2
%A _Scott R. Shannon_ and _Eric Angelini_, Jul 11 2020