Original entry on oeis.org
113, 613, 24421, 2042221, 60731221, 102975601, 253102501, 327449641, 722798221, 2284271641, 46414646521, 57358506301, 89249322541, 129933236221, 185045469601, 215232948901, 323617365541, 554037063901, 732039110041, 2373042229801, 3076710505441, 3443735055601
Offset: 1
113 is in the sequence because ((prime(2)*prime(3))^2 + 1)/2 = ((3*5)^2 + 1)/2 = 113 is prime.
Offset changed to 1 and more terms from
Jinyuan Wang, Aug 06 2021
A372313
Table read by antidiagonals: A(n,1) = 2n-1, and for k > 1, A(n,k) = A372289(A(n,k-1)+A(n,1)).
Original entry on oeis.org
1, 5, 3, 13, 13, 5, 29, 341, 21, 7, 61, 2773, 53, 29, 9, 125, 22229, 117, 149, 37, 11, 253, 177877, 245, 629, 93, 45, 13, 509, 1423061, 501, 2549, 205, 469, 53, 15, 1021, 11384533, 1013, 10229, 429, 15701, 133, 61, 17, 2045, 91076309, 2037, 40949, 877, 503125, 293, 309, 69, 19
Offset: 1
A(3,1) = 5. A(3,2) = A372289(5+5) = 21. A(3,3) = A372289(21+5) = 53. A(3,4) = A372289(53+5) = 117.
Table begins:
1, 5, 13, 29, 61, 125, 253, 509, ...
3, 13, 341, 2773, 22229, 177877, 1423061, 11384533, ...
5, 21, 53, 117, 245, 501, 1013, 2037, ...
7, 29, 149, 629, 2549, 10229, 40949, 163829, ...
9, 37, 93, 205, 429, 877, 1773, 3565, ...
11, 45, 469, 15701, 503125, 16100693, 515222869, 16487132501, ...
13, 53, 133, 293, 613, 1253, 2533, 5093, ...
15, 61, 309, 1301, 5269, 21141, 84629, 338581, ...
17, 69, 173, 381, 797, 1629, 3293, 6621, ...
19, 77, 3413, 27477, 219989, 1760085, 14080853, 112646997, ...
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