The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A271747 Number of set partitions of [n] such that 8 is the largest element of the last block. 2
1754, 5649, 20085, 77133, 315597, 1362669, 6164685, 29058813, 142084077, 717966669, 3737612685, 19991467293, 109605434157, 614681711469, 3519553748685, 20540447808573, 121996580169837, 736352527581069, 4510823754140685, 28011087761890653, 176122939449075117 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (28,-322,1960,-6769,13132,-13068,5040).
FORMULA
G.f.: x^8 *(5040*x^7 -3145476*x^6 +6799268*x^5 -5424029*x^4 +2104109*x^3 -426701*x^2 +43463*x -1754)/Product_{j=1..7} (j*x-1).
From Colin Barker, Jan 04 2018: (Start)
a(n) = 64 + 91*2^(n-6) + 245*2^(2*n-15) + 11*2^(n-7)*3^(n-8) + 217*3^(n-7) + 161*5^(n-8) + 7^(n-8) for n>8.
a(n) = 28*a(n-1) - 322*a(n-2) + 1960*a(n-3) - 6769*a(n-4) + 13132*a(n-5) - 13068*a(n-6) + 5040*a(n-7) for n>15.
(End)
PROG
(PARI) Vec(x^8*(1754 - 43463*x + 426701*x^2 - 2104109*x^3 + 5424029*x^4 - 6799268*x^5 + 3145476*x^6 - 5040*x^7) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)*(1 - 7*x)) + O(x^40)) \\ Colin Barker, Jan 04 2018
CROSSREFS
Column k=8 of A271466.
Sequence in context: A102327 A076809 A272326 * A282480 A043436 A119406
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Apr 13 2016
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 06:24 EDT 2024. Contains 372743 sequences. (Running on oeis4.)