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A143971 Triangle read by rows, (3n-2) subsequences decrescendo +0
2
1, 4, 1, 7, 4, 1, 10, 7, 4, 1, 13, 10, 7, 4, 1, 16, 3, 10, 7, 4, 1, 19, 16, 13, 10, 7, 4, 1, 22, 19, 16, 13, 10, 7, 4, 1, 25, 2, 19, 16, 13, 10, 7, 4, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = pentagonal numbers, A000326: (1, 5, 12, 22, 35,...).

FORMULA

Triangle read by rows, (3n-2) subsequences decrescendo; 1<=k<=n.

(1, 4, 7, 10, 13,...) in every column.

T(n,k) = f(x), (3*x - 2), x = (n-k+1).

EXAMPLE

First few rows of the triangle =

1;

4, 1;

7, 4, 1;

10, 7, 4, 1;

Example: T(6,2) = 13; (n-k+1) = 5 = x, then (3*x - 2) = 13.

CROSSREFS

A016777, A000326

Sequence in context: A158860 A037022 A037023 this_sequence A016688 A143972 A019651

Adjacent sequences: A143968 A143969 A143970 this_sequence A143972 A143973 A143974

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 06 2008

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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