The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A051129 Table T(n,k) = k^n read by upwards antidiagonals (n >= 1, k >= 1). 15
 1, 1, 2, 1, 4, 3, 1, 8, 9, 4, 1, 16, 27, 16, 5, 1, 32, 81, 64, 25, 6, 1, 64, 243, 256, 125, 36, 7, 1, 128, 729, 1024, 625, 216, 49, 8, 1, 256, 2187, 4096, 3125, 1296, 343, 64, 9, 1, 512, 6561, 16384, 15625, 7776, 2401, 512, 81, 10, 1, 1024, 19683, 65536, 78125, 46656, 16807, 4096, 729, 100, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS (n-th term) = (n-th term of A002260)^(n-th term of A004736). Both A002260 and A004736 are related to A002024. - Robert A. Stump (bee_ess107(AT)yahoo.com), Aug 29 2002 LINKS T. D. Noe, Rows n=1..50 of triangle, flattened FORMULA a(n) = (n - b(n) * (b(n) - 1) / 2)^(b(n) * (b(n) + 1) / 2 - n + 1), where b(n) = [ 1/2 + sqrt(2 * n) ]. (b(n) is the n-th term of A002024.) - Robert A. Stump (bee_ess107(AT)yahoo.com), Aug 29 2002 EXAMPLE 1   2       3       4       5       6       7   1   4       9      16      25      36      49   1   8      27      64     125     216     343   1  16      81     256     625    1296    2401   1  32     243    1024    3125    7776   16807   1  64     729    4096   15625   46656  117649   1 128    2187   16384   78125  279936  823543 MAPLE T:= (n, k)-> k^n: seq(seq(T(1+d-k, k), k=1..d), d=1..11);  # Alois P. Heinz, Apr 18 2020 MATHEMATICA Table[ k^(n-k+1), {n, 1, 12}, {k, 1, n}] // Flatten (* Jean-François Alcover, Nov 30 2012 *) PROG (Haskell) a051129 n k = k ^ (n - k) a051129_row n = a051129_tabl !! (n-1) a051129_tabl = zipWith (zipWith (^)) a002260_tabl \$ map reverse a002260_tabl -- Reinhard Zumkeller, Sep 14 2014 (PARI) b(n) = floor(1/2 + sqrt(2 * n)); vector(100, n, (n - b(n) * (b(n) - 1) / 2)^(b(n) * (b(n) + 1) / 2 - n + 1)) \\ Altug Alkan, Dec 09 2015 CROSSREFS Cf. A051128 (transposed), A003992 (transposed), A004248. Cf. A002024, A002260, A004736. Cf. A002260, A003101 (antidiagonal sums), A000169 (central terms), A003320 (row maxima), A247358 (sorted rows). Sequence in context: A105851 A106195 A247023 * A319075 A264871 A067410 Adjacent sequences:  A051126 A051127 A051128 * A051130 A051131 A051132 KEYWORD nonn,tabl,easy,nice AUTHOR EXTENSIONS More terms from James A. Sellers, Dec 11 1999 STATUS approved

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

Last modified August 6 16:05 EDT 2020. Contains 336255 sequences. (Running on oeis4.)