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

0,1

Comments

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

Links

Reinhard Zumkeller, Rows n=0..150 of triangle, flattened

Index entries for triangles and arrays related to Pascal's triangle

Formula

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

Example

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

Prog

(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

Crossrefs

Row sums give A051633(n).

Sequence in context: A322407 A111914 A051665 * A059179 A279678 A222283

Adjacent sequences: A028260 A028261 A028262 * A028264 A028265 A028266

Keyword

nonn,tabl

Author

Mohammad K. Azarian

Extensions

More terms from James A. Sellers

Status

approved