

A034139


Number of partitions of n into distinct parts from [ 1, 9 ].


1



1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 17, 18, 19, 21, 21, 22, 23, 23, 23, 23, 22, 21, 21, 19, 18, 17, 15, 13, 12, 10, 9, 8, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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OFFSET

0,4


COMMENTS

The number of different ways to run up a staircase with 9 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^9.  Mohammad K. Azarian, Aug 22 2010


REFERENCES

Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem II, Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, pp. 1217. Zentralblatt MATH, Zbl 1071.05501.  Mohammad K. Azarian, Aug 22 2010
Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem, Mathematics and Computer Education, Vol. 31, No. 1, pp. 2428, Winter 1997. MathEduc Database (Zentralblatt MATH, 1997c.01891).  Mohammad K. Azarian, Aug 22 2010


LINKS



FORMULA

Expansion of (1+x)(1+x^2)(1+x^3)...(1+x^9).


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



