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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A176392 A symmetrical triangle:t(n,m)=2 - (1 + m)^m + (1 + n)^n - (1 - m + n)^(n - m) 0
 1, 1, 1, 1, 7, 1, 1, 55, 55, 1, 1, 561, 609, 561, 1, 1, 7151, 7705, 7705, 7151, 1, 1, 109873, 117017, 117523, 117017, 109873, 1, 1, 1979503, 2089369, 2096465, 2096465, 2089369, 1979503, 1, 1, 40949569, 42929065, 43038883, 43045473, 43038883 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 8, 111, 1732, 29713, 571304, 12330675, 296880508, 7909460021, 231346281432,...}. LINKS Table of n, a(n) for n=0..41. FORMULA t(n,m)=2 - (1 + m)^m + (1 + n)^n - (1 - m + n)^(n - m) EXAMPLE {1}, {1, 1}, {1, 7, 1}, {1, 55, 55, 1}, {1, 561, 609, 561, 1}, {1, 7151, 7705, 7705, 7151, 1}, {1, 109873, 117017, 117523, 117017, 109873, 1}, {1, 1979503, 2089369, 2096465, 2096465, 2089369, 1979503, 1}, {1, 40949569, 42929065, 43038883, 43045473, 43038883, 42929065, 40949569, 1}, {1, 956953279, 997902841, 999882289, 999991601, 999991601, 999882289, 997902841, 956953279, 1}, {1, 24937424601, 25894377873, 25935327387, 25937306329, 25937409051, 25937306329, 25935327387, 25894377873, 24937424601, 1} MATHEMATICA t[n_, m_] = 2 - (1 + m)^m + (1 + n)^n - (1 - m + n)^(n - m); Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Cf. A000169 Sequence in context: A174689 A172345 A174719 * A015118 A340428 A174691 Adjacent sequences: A176389 A176390 A176391 * A176393 A176394 A176395 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Apr 16 2010 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 February 29 04:26 EST 2024. Contains 370401 sequences. (Running on oeis4.)