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)).

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

1,2

Comments

Conjecture: if A(n,1) is congruent to 33 (mod 100), then all terms on the n-th row are congruent to 33 (mod 100).

Links

Table of n, a(n) for n=1..55.

Example

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, ...

Crossrefs

Cf. A086893, A372289.

Sequence in context: A111744 A083781 A349156 * A206435 A080797 A376975

Adjacent sequences: A372310 A372311 A372312 * A372314 A372315 A372316

Keyword

nonn,tabl

Author

Ali Sada, Apr 26 2024

Status

approved