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A152905
Irregular triangle read by rows, numbers in A007318 repeated .
2
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 4, 4, 6, 6, 4, 4, 1, 1, 1, 1, 5, 5, 10, 10, 10, 10, 5, 5, 1, 1, 1, 1, 6, 6, 15, 15, 20, 20, 15, 15, 6, 6, 1, 1, 1, 1, 7, 7, 21, 21, 35, 35, 35, 35, 21, 21, 7, 7, 1, 1, 1, 1, 8, 8, 28, 28, 56, 56, 70, 70, 56, 56, 28, 28, 8, 8, 1, 1
OFFSET
0,9
COMMENTS
Diagonal sums : A097333 .
FORMULA
Sum_{k, 0<=k<=2n}T(n,k)=2^(n+1).
EXAMPLE
Triangle begins : 1,1 ; 1,1,1,1 ; 1,1,2,2,1,1 ; 1,1,3,3,3,3,1,1, ; 1,1,4,4,6,6,4,4,1,1 ; 1,1,5,5,10,10,10,10,5,5,1,1 ; ...
CROSSREFS
Cf. A000079,
Sequence in context: A211999 A175025 A076899 * A096601 A078077 A078082
KEYWORD
nonn,tabf
AUTHOR
Philippe Deléham, Dec 14 2008
EXTENSIONS
Typo in a(74) corrected by Georg Fischer, May 26 2024
STATUS
approved