A028263 Elements in 3-Pascal triangle A028262 (by row) that are not 1.

3, 4, 4, 5, 8, 5, 6, 13, 13, 6, 7, 19, 26, 19, 7, 8, 26, 45, 45, 26, 8, 9, 34, 71, 90, 71, 34, 9, 10, 43, 105, 161, 161, 105, 43, 10, 11, 53, 148, 266, 322, 266, 148, 53, 11, 12, 64, 201, 414, 588, 588, 414, 201, 64, 12, 13, 76, 265, 615, 1002, 1176, 1002, 615, 265, 76, 13

Offset: 0

Author

Mohammad K. Azarian

Keywords

• nonn
• tabl

Comments

Rows of triangle formed using Pascal's rule except begin and end n-th row with n+3.

Examples

			The triangle T(n,k) begins
n\k  0  1   2   3    4    5    6   7   8  9 10 ...
0:   3
1:   4  4
2:   5  8   5
3:   6 13  13   6
4:   7 19  26  19    7
5:   8 26  45  45   26    8
6:   9 34  71  90   71   34    9
7:  10 43 105 161  161  105   43  10
8:  11 53 148 266  322  266  148  53  11
9:  12 64 201 414  588  588  414 201  64 12
10: 13 76 265 615 1002 1176 1002 615 265 76 13
... Reformatted. - _Wolfdieter Lang_, Jun 28 2015
		

Links

• Reinhard Zumkeller, Rows n=0..150 of triangle, flattened
• Index entries for triangles and arrays related to Pascal's triangle

Crossrefs

Row sums give A051633(n).

Programs

Haskell

a028263 n k = a028263_tabl !! n !! k
a028263_row n = a028263_tabl !! n
a028263_tabl = zipWith (zipWith (+)) a007318_tabl a014410_tabl
-- Reinhard Zumkeller, Mar 12 2012

Formula

T(n,k) = A007318(n,k) + A014410(n+2,k+1). [Reinhard Zumkeller, Mar 12 2012]

Extensions

More terms from James Sellers