|
Search: id:A056546
|
|
|
| A056546 |
|
a(n) = 5n * a(n-1) +1 with a(0)=1. |
|
+0
4
|
|
| 1, 6, 61, 916, 18321, 458026, 13740781, 480927336, 19237093441, 865669204846, 43283460242301, 2380590313326556, 142835418799593361, 9284302221973568466, 649901155538149792621, 48742586665361234446576
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
|
|
FORMULA
|
a(n) = floor[ e^(1/5)*5^n*n! ]
a(n) = n!*sum(5^(n-k)/k!, k=0..n) . E.g.f. : exp(x) / (1-5x) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 14 2004
a(n) = Sum[P(n, k)5^k, {k, 0, n}]. - Ross La Haye (rlahaye(AT)new.rr.com), Aug 29 2005
|
|
EXAMPLE
|
a(2)=5*2*a(1)+1=10*6+1=61
|
|
CROSSREFS
|
Cf. A000522, A010844, A010845, A056545, A056547 for analogues. A056546/(A000142*A000351) is an increasingly good approximation to 5th root of e.
Adjacent sequences: A056543 A056544 A056545 this_sequence A056547 A056548 A056549
Sequence in context: A047737 A086403 A049120 this_sequence A127695 A022517 A022502
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Henry Bottonley (se16(AT)btinternet.com), Jun 20 2000
|
|
EXTENSIONS
|
More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 04 2000
|
|
|
Search completed in 0.002 seconds
|
