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A228074 A Fibonacci-Pascal triangle read by rows: T(n,0) = Fibonacci(n), T(n,n) = n and for n > 0: T(n,k) = T(n-1,k-1) + T(n-1,k), 0 < k < n. 34
0, 1, 1, 1, 2, 2, 2, 3, 4, 3, 3, 5, 7, 7, 4, 5, 8, 12, 14, 11, 5, 8, 13, 20, 26, 25, 16, 6, 13, 21, 33, 46, 51, 41, 22, 7, 21, 34, 54, 79, 97, 92, 63, 29, 8, 34, 55, 88, 133, 176, 189, 155, 92, 37, 9, 55, 89, 143, 221, 309, 365, 344, 247, 129, 46, 10, 89 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Reinhard Zumkeller, Rows n = 0..120 of table, flattened

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

EXAMPLE

.    0:                                 0

.    1:                               1   1

.    2:                             1   2   2

.    3:                          2    3    4   3

.    4:                       3    5    7    7   4

.    5:                     5    8   12   14   11   5

.    6:                  8   13   20   26   25   16   6

.    7:               13   21   33   46   51   41   22   7

.    8:            21   34   54   79   97   92   63   29   8

.    9:          34   55   88  133  176  189  155   92   37   9

.   10:       55   89  143  221  309  365  344  247  129   46  10

.   11:     89  144  232  364  530  674  709  591  376  175  56   11

.   12:  144 233  376  596  894 1204 1383 1300  967  551  231  67   12 .

PROG

(Haskell)

a228074 n k = a228074_tabl !! n !! k

a228074_row n = a228074_tabl !! n

a228074_tabl = map fst $ iterate

   (\(u:_, vs) -> (vs, zipWith (+) ([u] ++ vs) (vs ++ [1]))) ([0], [1, 1])

CROSSREFS

Cf. A000045 (left edge), A001477 (right edge), A228078 (row sums), A027988 (maxima per row);

diagonals T(*,k): A000045, A000071, A001924, A014162, A014166, A053739, A053295, A053296, A053308, A053309;

diagonals T(k,*): A001477, A001245, A004006, A027927, A027928, A027929, A027930, A027931, A027932, A027933;

some other Fibonacci-Pascal triangles: A027926, A036355, A037027, A074829, A105809, A109906, A111006, A114197, A162741.

Sequence in context: A057748 A057747 A281965 * A152803 A187181 A211187

Adjacent sequences:  A228071 A228072 A228073 * A228075 A228076 A228077

KEYWORD

nonn,tabl,look

AUTHOR

Reinhard Zumkeller, Aug 15 2013

STATUS

approved

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Last modified July 21 03:02 EDT 2017. Contains 289629 sequences.