OFFSET
1,1
COMMENTS
Conjecture 1: The array contains without duplication all possible "block numbers" defined in A265100.
FORMULA
EXAMPLE
Array A begins:
. 5 14 41 122 365 1094 3281 9842 29525
. 32 95 284 851 2552 7655 22964 68891 206672
. 86 257 770 2309 6926 20777 62330 186989 560966
. 113 338 1013 3038 9113 27338 82013 246038 738113
. 248 743 2228 6683 20048 60143 180428 541283 1623848
. 275 824 2471 7412 22235 66704 200111 600332 1800995
. 329 986 2957 8870 26609 79826 239477 718430 2155289
. 356 1067 3200 9599 28796 86387 259160 777479 2332436
. 734 2201 6602 19805 59414 178241 534722 1604165 4812494
MATHEMATICA
(* Array: *)
a005836[1] := 0; a005836[n_] := If[OddQ[n], 3*a005836[Floor[(n + 1)/2]], a005836[n - 1] + 1]; a265159[n_, k_] := 5 + 9*a005836[2^(k - 1)*(2 n - 1)]; Grid[Table[a265159[n, k], {n, 9}, {k, 9}]]
(* Array antidiagonals flattened: *)
a005836[1] := 0; a005836[n_] := If[OddQ[n], 3*a005836[Floor[(n + 1)/2]], a005836[n - 1] + 1]; a265159[n_, k_] := 5 + 9*a005836[2^(k - 1)*(2 n - 1)]; Flatten[Table[a265159[n - k + 1, k], {n, 9}, {k, n}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
L. Edson Jeffery, Dec 03 2015
STATUS
approved