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A265848 Pascal's triangle, right and left halves interchanged. 5
1, 1, 1, 1, 1, 2, 3, 1, 1, 3, 4, 1, 1, 4, 6, 10, 5, 1, 1, 5, 10, 15, 6, 1, 1, 6, 15, 20, 35, 21, 7, 1, 1, 7, 21, 35, 56, 28, 8, 1, 1, 8, 28, 56, 70, 126, 84, 36, 9, 1, 1, 9, 36, 84, 126, 210, 120, 45, 10, 1, 1, 10, 45, 120, 210, 252, 462, 330, 165, 55, 11, 1, 1, 11, 55, 165, 330, 462 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Concatenations of rows of A014413 and A034868;

T(n,k) = if k <= [(n+1)/2] then A014413(n,k+1) else A034868(n,k-[(n+1)/2]);

alternative mirrored variant: concatenation of A034869 and A014462;

T(n,0) = A037952(n) for n > 0;

T(n,n) = A001405(n).

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 + floor((n+2)/2)) mod (n+1)).

EXAMPLE

.   0:                                1

.   1:                              1   1

.   2:                            1   1   2

.   3:                          3   1   1   3

.   4:                        4   1   1   4   6

.   5:                     10   5   1   1   5   10

.   6:                   15   6   1   1   6   15  20

.   7:                 35   21  7   1   1   7   21   35

.   8:              56   28   8   1   1   8   28  56   70

.   9:           126   84   36  9   1   1   9   36   84   126

.  10:        210   120  45  10   1   1   10  45  120  210  252

.  11:     462   330  165   55  11  1   1   11  55  165   330  462

.  12:  792   495  220   66  12   1   1   12  66  220  495  792   924  .

PROG

(Haskell)

a265848 n k = a265848_tabl !! n !! k

a265848_row n = a265848_tabl !! n

a265848_tabl = zipWith (++) ([] : a014413_tabf) a034868_tabf

CROSSREFS

Cf. A014413, A014462, A034868, A034869, A007318, A001405, A037952, A000079 (row sums), A001142 (row products).

Sequence in context: A133569 A141071 A004648 * A139438 A135392 A071947

Adjacent sequences:  A265845 A265846 A265847 * A265849 A265850 A265851

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Dec 24 2015

STATUS

approved

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Last modified October 22 04:04 EDT 2018. Contains 316431 sequences. (Running on oeis4.)