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 A200659 Triangle T(n,k), read by rows, given by (1,2,2,3,3,4,4,5,5,6,6,...) DELTA (1,0,1,0,1,0,1,0,1,0,1,0,1,...) where DELTA is the operator defined in A084938. 3
 1, 1, 1, 3, 4, 1, 13, 21, 9, 1, 71, 132, 76, 16, 1, 461, 955, 670, 200, 25, 1, 3447, 7782, 6309, 2374, 435, 36, 1, 29093, 70441, 63833, 28413, 6713, 833, 49, 1, 273343, 701352, 694500, 351512, 99868, 16240, 1456, 64, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA Sum_{k, 0<=k<=n} T(n,k)*x^k = A153881(n+1), A000007(n), A003319(n), A111537(n), A111546(n), A111556(n), A177354(n-1) for x = -2,-1,0,1,2,3,4 respectively. Sum_ {k, 0<=k<=n} T(n,k)*x^(n-k) = A000012(n), A111537(n), A167872(n) for x = 0,1,2 respectively. T(k+1,k)=(k+1)^2. EXAMPLE Triangle begins : 1 1, 1 3, 4, 1 13, 21, 9, 1 71, 132, 76, 16, 1 461, 955, 670, 200, 25, 1 3447, 7782, 6309, 2374, 435, 36, 1 29093, 70441, 63833, 28413, 6713, 833, 49, 1 273343, 701352, 694500, 351512, 99868, 16240, 1456, 64, 1 CROSSREFS Cf. A111537, A111546, A111556, A167872 Sequence in context: A076785 A110506 A114189 * A059110 A100326 A303728 Adjacent sequences:  A200656 A200657 A200658 * A200660 A200661 A200662 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Nov 20 2011 STATUS approved

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Last modified January 24 09:02 EST 2022. Contains 350534 sequences. (Running on oeis4.)