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A126062 Array read by antidiagonals: see A128195 for details. 3

%I

%S 1,1,1,1,4,1,1,9,15,1,1,16,65,64,1,1,25,175,511,325,1,1,36,369,2020,

%T 4743,1956,1,1,49,671,5629,27313,52525,13699,1,1,64,1105,12736,100045,

%U 440896,683657,109600,1,1,81,1695,25099,280581,2122449,8390875,10256775

%N Array read by antidiagonals: see A128195 for details.

%H P. Luschny, <a href="http://www.luschny.de/math/seq/variations.html">Variants of Variations</a>.

%e Array begins:

%e [0]..1,..1,...1,.....1,......1,.......1,.........1,..........1,............1

%e [1]..1,..4,..15,....64,....325,....1956,.....13699,.....109600,.......986409

%e [2]..1,..9,..65,...511,...4743,...52525,....683657,...10256775,....174369527

%e [3]..1,.16,.175,..2020,..27313,..440896,...8390875,..184647364,...4616348125

%e [4]..1,.25,.369,..5629,.100045,.2122449,..53163625,.1542220261,..50895431301

%e [5]..1,.36,.671,.12736,.280581,.7376356,.229151411,.8252263296,.338358810761

%p A126062 := proc(k,n) if n = 0 then 1 ; else (n*k+1)*(A126062(k,n-1)+k^n) ; fi ; end: for diag from 0 to 10 do for k from diag to 0 by -1 do n := diag-k ; printf("%d, ",A126062(k,n)) ; od ; od ; # _R. J. Mathar_, May 18 2007

%t a[_, 0] = 1; a[k_, n_] := a[k, n] = (n*k+1)*(a[k, n-1]+k^n); Table[a[k-n, n], {k, 0, 10}, {n, 0, k}] // Flatten (* _Jean-Fran├žois Alcover_, Jan 08 2014 *)

%K nonn,tabl,easy

%O 0,5

%A _N. J. A. Sloane_, Feb 28 2007

%E More terms from _R. J. Mathar_, May 18 2007

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Last modified June 22 14:27 EDT 2021. Contains 345380 sequences. (Running on oeis4.)