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Search: id:A157897
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| A157897 |
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Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k-1) + T(n-3,k-3) |
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+0
2
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| 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 3, 1, 2, 0, 1, 4, 3, 3, 2, 0, 1, 5, 6, 5, 6, 0, 1, 1, 6, 10, 9, 12, 3, 3, 0, 1, 7, 15, 16, 21, 12, 6, 3, 0, 1, 8, 21, 27, 35, 30, 14, 12, 0, 1
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Sum of n-th row = A000073(n+2). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 25 2009]
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REFERENCES
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Kenneth Edwards, "A Pascal-Like Triangle Related to the Tribonacci Numbers"; Fibonacci Quarterly, Volume 46/47, Number 1, February 2009.
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FORMULA
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Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k-1) + T(n-3,k-3), n>4.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 0;
1, 1, 0;
1, 2, 0, 1;
1, 3, 1, 2, 0;
1, 4, 3, 3, 2, 0;
1, 5, 6, 5, 6, 0, 1;
1, 6, 10, 9, 12, 3, 3, 0;
1, 7, 15, 16, 21, 12, 6, 3, 0;
1, 8, 21, 27, 35, 30, 14, 12, 0, 1;
...
T(9,3) = 27 = T(8,3) + T(7,2) + T(6,0) = 16 + 10 + 1.
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CROSSREFS
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A120415, A006498
Sequence in context: A064922 A055186 A124035 this_sequence A140129 A029347 A058725
Adjacent sequences: A157894 A157895 A157896 this_sequence A157898 A157899 A157900
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 08 2009
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