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A152842
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Triangle T(n,k), 0<=k<=n, read by rows, given by [1,0,-1,0,0,0,0,0,0,...] DELTA [3,-2,-1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 .
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0
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1, 1, 3, 1, 4, 3, 1, 7, 15, 9, 1, 8, 22, 24, 9, 1, 11, 46, 90, 81, 27, 1, 12, 57, 136, 171, 108, 27, 1, 15, 93, 307, 579, 621, 351, 81, 1, 16, 108, 400, 886, 1200, 972, 432, 81, 1, 19, 156, 724, 2086, 3858, 4572, 3348, 1377, 243, 1, 20, 175, 880, 2810, 5944, 8430, 7920
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..62.
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FORMULA
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T(n,k) = T(n-1,k)+(2-(-1)^n)*(T(n-1,k-1). Sum_{k, 0< = k< = n}T(n,k) = A094015(n). T(n,n) = A108411(n+1). T(2n,n) = A069835(n).
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EXAMPLE
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Triangle begins : 1 ; 1,3 ; 1,4,3 ; 1,7,15,9 ; 1,8,22,24,9 ; 1,11,46,90,81,27 ; ...
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CROSSREFS
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Cf. A152815, A007318, A064861
Sequence in context: A104568 A030758 A104764 * A209704 A082909 A029151
Adjacent sequences: A152839 A152840 A152841 * A152843 A152844 A152845
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM, Dec 14 2008
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STATUS
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approved
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