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A095891 Triangle read by rows: T(n,k) = (n-k+1)^(n-k+1), n>=1, 1<=k<=n. 2
1, 4, 1, 27, 4, 1, 256, 27, 4, 1, 3125, 256, 27, 4, 1, 46656, 3125, 256, 27, 4, 1, 823543, 46656, 3125, 256, 27, 4, 1, 16777216, 823543, 46656, 3125, 256, 27, 4, 1, 387420489, 16777216, 823543, 46656, 3125, 256, 27, 4, 1, 10000000000, 387420489, 16777216 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sequence B is called a reverse reluctant sequence of sequence A, if B is triangle array read by rows: row number k lists first k elements of the sequence A in reverse order. Sequence A095891 is reverse reluctant sequence of sequence A000312 (number of labeled mappings from n points to themselves (endofunctions): n^n). - Boris Putievskiy, Dec 14 2012

LINKS

Herman Jamke and Boris Putievskiy (first 48 from Herman Jamke), Table of n, a(n) for n = 1..1000

Boris Putievskiy, Transformations Integer Sequences And Pairing Functions arXiv:1212.2732 [math.CO]

FORMULA

a(n) = A000312(m), where m=(t*t+3*t+4)/2-n, t=floor((-1+sqrt(8*n-7))/2) or ((t*t+3*t+4)/2-n)^((t*t+3*t+4)/2-n), where t=floor((-1+sqrt(8*n-7))/2). - Boris Putievskiy, Dec 14 2012

MATHEMATICA

#^#&/@Table[n-k+1, {n, 10}, {k, n}]//Flatten (* Harvey P. Dale, May 23 2021 *)

CROSSREFS

Sequence in context: A039816 A329060 A118283 * A095887 A225213 A137906

Adjacent sequences:  A095888 A095889 A095890 * A095892 A095893 A095894

KEYWORD

easy,nonn,tabl

AUTHOR

Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 10 2004

STATUS

approved

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Last modified September 23 12:06 EDT 2021. Contains 347616 sequences. (Running on oeis4.)