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).

4, 9, 27, 16, 64, 256, 25, 125, 625, 3125, 36, 216, 1296, 7776, 46656, 49, 343, 2401, 16807, 117649, 823543, 64, 512, 4096, 32768, 262144, 2097152, 16777216, 81, 729, 6561, 59049, 531441, 4782969, 43046721, 387420489, 100, 1000, 10000, 100000

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Corresponding numerators: A099613, A099614.

Equals A075363 except for the leading column (k = 1) in that triangle. - Georg Fischer, Jul 26 2023

LINKS

Table of n, a(n) for n=1..40.

FORMULA

T(n, k) = n^k.

CROSSREFS

Cf. A075363, A099613, A099614.

Sequence in context: A373719 A354604 A240042 * A114618 A067758 A357752

Adjacent sequences: A099612 A099613 A099614 * A099616 A099617 A099618

KEYWORD

nonn,tabl,frac

AUTHOR

Reinhard Zumkeller, Oct 25 2004

STATUS

approved