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A107600 Column 5 of array illustrated in A089574 and related to A034261. 11
1, 18, 101, 357, 978, 2274, 4711, 8954, 15915, 26806, 43197, 67079, 100932, 147798, 211359, 296020, 406997, 550410, 733381, 964137, 1252118, 1608090, 2044263, 2574414, 3214015, 3980366, 4892733, 5972491, 7243272, 8731118, 10464639 (list; graph; refs; listen; history; text; internal format)
OFFSET
9,2
COMMENTS
The sequences in A089574 count ordered partitions. Sequence A001296 can be associated with 9 = 3+3+3. Six times sequence A005585, associated with 10 = 3+3+2+2. The other three sequences comprising A107600 are generated in A034261 and can be associated with 10 = 5 + 5 = 4 + 4 + 2 = 2 + 2 + 2 + 2 + 2.
LINKS
FORMULA
G.f.: (x^5 -5*x^4 +7*x^3 +4*x^2 -11*x -1) *x^9 /(x-1)^7. - Alois P. Heinz, Nov 06 2009
EXAMPLE
A107600(n) can be constructed from five other sequences as follows:
1...7...25...65...140.......A001296
....1...11...56...196.......A034264
....6...42..162...462.......6.*.A005585.
....3...18...60...150.......A006011
....1....5...14....30.......A000330
therefore
1..18..101..357...978.......A107600
MAPLE
a:= n-> `if` (n<9, 0, (92292 +(-6580 +(-5745 +(1535 +(-147+5*n) *n) *n) *n) *n) *n /720 -218): seq(a(n), n=9..45); # Alois P. Heinz, Nov 06 2009
MATHEMATICA
Select[CoefficientList[Series[(x^5-5x^4+7x^3+4x^2-11x-1)x^9/(x-1)^7, {x, 0, 50}], x], #>0&] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 18, 101, 357, 978, 2274, 4711}, 42] (* Harvey P. Dale, May 01 2011 *)
CROSSREFS
Sequence in context: A301542 A231138 A140198 * A229326 A365107 A008528
KEYWORD
easy,nonn
AUTHOR
Alford Arnold, May 17 2005
EXTENSIONS
More terms from Alois P. Heinz, Nov 06 2009
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)