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A028263 Elements in 3-Pascal triangle A028262 (by row) that are not 1. 4

%I #19 Jun 28 2015 10:46:05

%S 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,

%T 9,10,43,105,161,161,105,43,10,11,53,148,266,322,266,148,53,11,12,64,

%U 201,414,588,588,414,201,64,12,13,76,265,615,1002,1176,1002,615,265,76,13

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

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

%H Reinhard Zumkeller, <a href="/A028263/b028263.txt">Rows n=0..150 of triangle, flattened</a>

%H <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>

%F T(n,k) = A007318(n,k) + A014410(n+2,k+1). [_Reinhard Zumkeller_, Mar 12 2012]

%e The triangle T(n,k) begins

%e n\k 0 1 2 3 4 5 6 7 8 9 10 ...

%e 0: 3

%e 1: 4 4

%e 2: 5 8 5

%e 3: 6 13 13 6

%e 4: 7 19 26 19 7

%e 5: 8 26 45 45 26 8

%e 6: 9 34 71 90 71 34 9

%e 7: 10 43 105 161 161 105 43 10

%e 8: 11 53 148 266 322 266 148 53 11

%e 9: 12 64 201 414 588 588 414 201 64 12

%e 10: 13 76 265 615 1002 1176 1002 615 265 76 13

%e ... Reformatted. - _Wolfdieter Lang_, Jun 28 2015

%o (Haskell)

%o a028263 n k = a028263_tabl !! n !! k

%o a028263_row n = a028263_tabl !! n

%o a028263_tabl = zipWith (zipWith (+)) a007318_tabl a014410_tabl

%o -- _Reinhard Zumkeller_, Mar 12 2012

%Y Row sums give A051633(n).

%K nonn,tabl

%O 0,1

%A _Mohammad K. Azarian_

%E More terms from _James A. Sellers_

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Last modified April 23 20:27 EDT 2024. Contains 371916 sequences. (Running on oeis4.)