|
| |
|
|
A034143
|
|
Number of partitions of n into distinct parts from [ 1, 13 ].
|
|
0
| |
|
|
1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 21, 25, 29, 33, 39, 44, 50, 57, 64, 71, 79, 87, 95, 104, 113, 121, 131, 140, 148, 158, 166, 174, 182, 189, 195, 202, 207, 211, 215, 218, 219, 221, 221, 219, 218, 215, 211
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| The number of different ways to run up a staircase with 13 steps, taking steps of odd sizes (or taking steps of distinct sizes), where the order is not relevant and there is no other restriction on the number or the size of each step taken is the coefficient of x^13.
|
|
|
REFERENCES
| Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem II, Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, pp. 12-17. Zentralblatt MATH, Zbl 1071.05501.
Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem, Mathematics and Computer Education, Vol. 31, No. 1, pp. 24-28, Winter 1997. MathEduc Database (Zentralblatt MATH, 1997c.01891).
|
|
|
FORMULA
| Expansion of (1+x)(1+x^2)(1+x^3)...(1+x^13).
|
|
|
CROSSREFS
| Sequence in context: A008675 A027581 A058706 * A034144 A034145 A034146
Adjacent sequences: A034140 A034141 A034142 * A034144 A034145 A034146
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| Added a comment and 2 references by Mohammad K. Azarian (azarian(AT)evansville.edu), Aug 22 2010
|
| |
|
|
