A053766 - OEIS

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A053766

a(n) = 5^(n^2 - n).

1, 1, 25, 15625, 244140625, 95367431640625, 931322574615478515625, 227373675443232059478759765625, 1387778780781445675529539585113525390625 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`Number of nilpotent n X n matrices over GF(5).`
	REFERENCES	`N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, Illinois J. Math., 2 (1958), 499-504.` `M. Gerstenhaber, On the number of nilpotent matrices with coefficients in a finite field. Illinois J. Math., Vol. 5 (1961), 330-333.`
	LINKS	`Table of n, a(n) for n=0..8.`
	FORMULA	`a(n) =A000351(n^2 - n). -Wesley Ivan Hurt,Jan 28 2014`
	MAPLE	`A053766:=n->5^(n^2 - n); seq(A053766(n), n=0..10); #Wesley Ivan Hurt,Jan 28 2014`
	MATHEMATICA	`Table[5^(n^2 - n), {n, 0, 10}] (Wesley Ivan Hurt,Jan 28 2014 )`
	CROSSREFS	`Cf.A053763,A053764,A053765.` `Sequence in context:A238564A195682A082211A298467A203543A337727` `Adjacent sequences:A053763A053764A053765A053767A053768A053769`
	KEYWORD	`easy,nonn`
	AUTHOR	`Stephen G Penrice,Mar 29 2000`
	EXTENSIONS	`More terms fromJames A. Sellers,Apr 08 2000`
	STATUS	`approved`

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Last modified September 2 05:36 EDT 2024. Contains 375604 sequences. (Running on oeis4.)