A099615 - OEIS

A099615

Triangle read by rows, 2<=k<=n: T(n,k) = denominator of (1+1/n)^k-(1+k/n) and of (1-1/n)^k-(1-k/n).

%I #8 Jul 26 2023 01:39:18

%S 4,9,27,16,64,256,25,125,625,3125,36,216,1296,7776,46656,49,343,2401,

%T 16807,117649,823543,64,512,4096,32768,262144,2097152,16777216,81,729,

%U 6561,59049,531441,4782969,43046721,387420489,100,1000,10000,100000

%N Triangle read by rows, 2<=k<=n: T(n,k) = denominator of (1+1/n)^k-(1+k/n) and of (1-1/n)^k-(1-k/n).

%C Corresponding numerators: A099613, A099614.

%C Equals A075363 except for the leading column (k = 1) in that triangle. - _Georg Fischer_, Jul 26 2023

%F T(n, k) = n^k.

%Y Cf. A075363, A099613, A099614.

%K nonn,tabl,frac

%O 1,1

%A _Reinhard Zumkeller_, Oct 25 2004