|
Search: id:A014410
|
|
|
| A014410 |
|
Elements in Pascal's triangle (by row) that are not 1. |
|
+0
11
|
|
| 2, 3, 3, 4, 6, 4, 5, 10, 10, 5, 6, 15, 20, 15, 6, 7, 21, 35, 35, 21, 7, 8, 28, 56, 70, 56, 28, 8, 9, 36, 84, 126, 126, 84, 36, 9, 10, 45, 120, 210, 252, 210, 120, 45, 10, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 13, 78
(list; table; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
COMMENT
|
Also, rows of triangle formed using Pascal's rule except begin and end n-th row with n+2 - Asher Auel (asher.auel(AT)reed.edu).
Row sums are A000918. - Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Jan 15 2009_
|
|
FORMULA
|
a(n)=C(A003057(n),A002260(n))=C(A003057(n),A004736(n)). - Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 29 2006
t(n,j)=( Gamma[4 + n]/(Gamma[2 + j] Gamma[3 - j + n]) - KroneckerDelta[ -4 - n]). [From Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Jan 15 2009]
|
|
EXAMPLE
|
2
3, 3
4, 6, 4
5, 10, 10, 5
6, 15, 20, 15, 6
7, 21, 35, 35, 21, 7
8, 28, 56, 70, 56, 28, 8
9, 36, 84, 126, 126, 84, 36, 9
10, 45, 120, 210, 252, 210, 120, 45, 10
11, 55, 165, 330, 462, 462, 330, 165, 55, 11
12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12
|
|
MAPLE
|
for i from 0 to 12 do seq(binomial(i, j)*1^(i-j), j = 1 .. i-1) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 02 2007
|
|
MATHEMATICA
|
Select[ Flatten[ Table[ Binomial[ n, i ], {n, 0, 13}, {i, 0, n} ] ], #>1& ]
|
|
CROSSREFS
|
Cf. A007318.
Cf. A000918
Sequence in context: A070820 A031501 A059442 this_sequence A159999 A003977 A003971
Adjacent sequences: A014407 A014408 A014409 this_sequence A014411 A014412 A014413
|
|
KEYWORD
|
nonn,easy,tabl
|
|
AUTHOR
|
Mohammad K. Azarian (ma3(AT)evansville.edu)
|
|
EXTENSIONS
|
More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
|
|
|
Search completed in 0.002 seconds
|
