|
| |
|
|
A134481
|
|
Row sums of triangle A134480.
|
|
1
| |
|
|
1, 5, 20, 50, 100, 175, 280, 420, 600, 825, 1100, 1430, 1820, 2275
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| If Y is a 5-subset of an n-set X then, for n>=8, a(n-7) is the number of 4-subsets of X having exactly one element in common with Y. - Milan R. Janjic (agnus(AT)blic.net), Dec 28 2007
|
|
|
FORMULA
| Binomial transform of [1, 4, 11, 4, 1, -1, 1, -1, 1, -1,...]. Also, 1 followed by 5 * A000292, the tetrahedral numbers; i.e. 1, then 5 * (1, 4, 10, 25, 35,...).
a(n)=5*binomial(n-5,3), n=8,9,...,20. - Milan R. Janjic (agnus(AT)blic.net), Dec 28 2007
|
|
|
EXAMPLE
| a(2) = 20 = sum of row 3 terms of triangle A134480: (9 + 7 + 4).
a(3) = 50 = (1, 3, 3, 1) dot (1, 4, 11, 4) = (1 + 12 + 33 + 4).
|
|
|
CROSSREFS
| Cf. A134480, A000292.
Sequence in context: A005287 A147488 A190094 * A062158 A034133 A006504
Adjacent sequences: A134478 A134479 A134480 * A134482 A134483 A134484
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 27 2007
|
| |
|
|
