The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A265161 Array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = (3/2)*(3^k - 1) + A265159(n,k), n,k >= 1. 2
 8, 35, 26, 89, 107, 80, 116, 269, 323, 242, 251, 350, 809, 971, 728, 278, 755, 1052, 2429, 2915, 2186, 332, 836, 2267, 3158, 7289, 8747, 6560, 359, 998, 2510, 6803, 9476, 21869, 26243, 19682, 737, 1079, 2996, 7532, 20411, 28430, 65609, 78731, 59048 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture 1: The array contains without duplication all possible "gap numbers" as defined in A265100. LINKS FORMULA Conjecture 2: A(n,k) = A191107(n)*3^k - 1. EXAMPLE Array A begins: .      8    26    80    242    728    2186    6560    19682    59048 .     35   107   323    971   2915    8747   26243    78731   236195 .     89   269   809   2429   7289   21869   65609   196829   590489 .    116   350  1052   3158   9476   28430   85292   255878   767636 .    251   755  2267   6803  20411   61235  183707   551123  1653371 .    278   836  2510   7532  22598   67796  203390   610172  1830518 .    332   998  2996   8990  26972   80918  242756   728270  2184812 .    359  1079  3239   9719  29159   87479  262439   787319  2361959 .    737  2213  6641  19925  59777  179333  538001  1614005  4842017 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)]; a265161[n_, k_] := (3/2)*(3^k - 1) + a265159[n, k]; Grid[Table[a265161[n, k], {n, 9}, {k, 9}]] (* Array antidiagonal 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)]; a265161[n_, k_] := (3/2)*(3^k - 1) + a265159[n, k]; Flatten[Table[a265161[n - k + 1, k], {n, 9}, {k, n}]] CROSSREFS Cf. A191107, A265100, A265104, A265159. Sequence in context: A318244 A280395 A158991 * A303805 A304852 A305249 Adjacent sequences:  A265158 A265159 A265160 * A265162 A265163 A265164 KEYWORD nonn,tabl AUTHOR L. Edson Jeffery, Dec 03 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 17 11:26 EDT 2022. Contains 353745 sequences. (Running on oeis4.)