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A141066 List of different composites in Pascal-like triangle with index of asymmetry (y=2) and index of obliquely (z=0 or z=1). 0
1, 4, 8, 9, 15, 28, 40, 52, 88, 96, 170, 177, 188, 189, 326, 345, 400, 406, 600, 846, 871, 872, 1104, 1866, 2031, 2751, 4022, 4023, 6872, 8505, 8633, 10672 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Pascal-like triangle with index of asymmetry (y=2) and index of

obliqueness (z=0) read by rows with recurrence G(n, k): G(n, 0)=G(n+1,

n+1)=1, G(n+2, n+1)=2, G(n+3, n+1)=4, G(n+4, k)=G(n+1, k-1)+G(n+1,

k)+G(n+2, k)+G(n+3, k) for k:=1..(n+1).

Pascal-like triangle with index of asymmetry(y=1) and index of obliqueness

(z=1) read by rows with recurrence G(n, k): G(n, n)=G(n+1, 0)=1, G(n+2,

1)=2, G(n+3, 2)=4, G(n+4, k)=G(n+1,

k-2)+G(n+1, k-3)+G(n+2, k-2)+G(n+3, k-1) for k=3..(n+3).

LINKS

Table of n, a(n) for n=1..32.

Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ...

EXAMPLE

Pascal-like triangle (y=2, z=0) begins:

If 1, then a(1)=1.

If 1 1

1 2 1

1 4 2 1, then a(2)=4.

If 1 8 4 2 1, then a(3)=8.

If 1 15 9 4 2 1, then a(4)=12 and a(5)=15.

If 1 28 19 9 4 2 1, then a(6)=28.

If 1 52 40 19 9 4 2 1, then a(7)=40 and a(8)=52.

If 1 96 83 41 19 9 4 2 1

1 177 170 88 41 19 9 4 2 1, then a(9)=88, a(10)=96,

a(11)=170, a(12)=177.

If 1 326 345 188 88 41 19 9 4 2 1

1 600 694 400 189 88 41 19 9 4 2 1, then a(13)=188,

a(14)=189, a(15)=326, a(16)=345, a(17)=400, ets.

CROSSREFS

Cf. A140998.

Sequence in context: A161542 A131195 A020217 * A018196 A072103 A004756

Adjacent sequences:  A141063 A141064 A141065 * A141067 A141068 A141069

KEYWORD

nonn,uned

AUTHOR

Juri-Stepan Gerasimov, Jul 14 2008

EXTENSIONS

Partially edited by N. J. A. Sloane, Jul 18 2008

STATUS

approved

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Last modified December 9 04:50 EST 2016. Contains 278960 sequences.