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A062023 a(n) = {n^(n+1)+n^(n-1)}/2. 4
1, 5, 45, 544, 8125, 143856, 2941225, 68157440, 1764915561, 50500000000, 1582182900661, 53868106874880, 1980337235410885, 78180905165533184, 3298800640869140625, 148150413341979836416, 7055872821971695929745, 355210628457538186444800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is the number of monotonic runs over all length n words on an alphabet of n letters. - Geoffrey Critzer, Jun 25 2013

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..100

EXAMPLE

a(3) = {3^4 +3^2}/2 = 45.

MATHEMATICA

Table[(n^(n-1)+n^(n+1))/2, {n, 1, 20}] (* Geoffrey Critzer, Jun 25 2013 *)

PROG

(PARI) { for (n=1, 100, write("b062023.txt", n, " ", (n^(n + 1) + n^(n - 1))/2) ) } [Harry J. Smith, Jul 29 2009]

CROSSREFS

Cf. A229078.

Sequence in context: A248586 A275576 A189122 * A169714 A084095 A174495

Adjacent sequences:  A062020 A062021 A062022 * A062024 A062025 A062026

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 02 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jun 06 2001

STATUS

approved

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Last modified September 27 03:21 EDT 2020. Contains 337380 sequences. (Running on oeis4.)