|
| |
|
|
A036071
|
|
Expansion of 1/(1-5*x)^5.
|
|
7
| |
|
|
1, 25, 375, 4375, 43750, 393750, 3281250, 25781250, 193359375, 1396484375, 9775390625, 66650390625, 444335937500, 2905273437500, 18676757812500, 118286132812500, 739288330078125, 4566192626953125, 27904510498046875
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| With a different offset, number of n-permutations (n=5) of 6 objects u, v, w, z, x, y with repetition allowed, containing exactly four (4)u's. Example: a(1)=25 because we have uuuuv, uuuvu, uuvuu, uvuuu, vuuuu, uuuuw, uuuwu, uuwuu, uwuuu, wuuuu, uuuuz, uuuzu, uuzuu, uzuuu, zuuuu, uuuux, uuuxu, uuxuu, uxuuu, xuuuu uuuuy, uuuyu, uuyuu, uyuuu, yuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2008
|
|
|
FORMULA
| a(n) = binomial(n+4, 4)*5^n; G.f. 1/(1-5*x)^5.
|
|
|
MAPLE
| seq(binomial(n+4, 4)*5^n, n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2008
|
|
|
PROG
| (Other) SAGE: [lucas_number2(n, 5, 0)*binomial(n, 4)/5^4 for n in xrange(4, 23)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]
|
|
|
CROSSREFS
| A001787, A038846.
Sequence in context: A130052 A059255 A022749 * A094190 A069396 A125482
Adjacent sequences: A036068 A036069 A036070 * A036072 A036073 A036074
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
| |
|
|
