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 A198862 Sum of the n-th antidiagonal in the triangle A192011. 1
 -1, 2, 2, 2, 3, 1, -1, -3, -6, -7, -6, -3, 3, 10, 16, 19, 16, 6, -10, -29, -45, -51, -41, -12, 33, 84, 125, 137, 104, 20, -105, -242, -346, -366, -261, -19, 327, 693, 954, 973, 646, -47, -1001, -1974, -2620, -2573, -1572, 402, 3022 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The current sequence and its successive differences are: -1, 2, 2, 2, 3, 1, -1 ,-3, -6, -7, ... 3, 0, 0, 1, -2, -2, -2, -3, -1, 1, 3, 6, 7, 6, 3, -3, -10, -16, ... -3, 0, 1, -3, 0, 0, -1, 2, 2, 2, 3, 1, -1, -3, -6, -7, -6, ... 3, 1, -4, 3, 0, -1, 3, 0, 0, 1, -2, -2, -2, -3, -1, 1, 3, 6, 7, ... -2, -5, 7, -3, -1, 4, -3, 0, 1, -3, 0, 0, -1, 2, 2, 2, 3, 1, ... -3, 12, -10, 2, 5, -7, 3, 1, -4, 3, 0, -1, 3, 0, 0, 1, -2, ... 15, -22, 12, 3, -12, 10, -2, -5, 7, -3, -1, 4, -3, 0, ... -37, 34, -9, -15, 22, -12, -3, 12, -10, 2, 5, -7, 3, 1, -4, ... Each row obeys the same linear recurrence and is a version of the row 4 lines farther up in the same array shifted right by 12 places. LINKS Table of n, a(n) for n=0..48. Index entries for linear recurrences with constant coefficients, signature (1,0,0,-1). FORMULA a(n) = Sum_{k=0..floor(n/2)} A192011(n-k,k). a(n) = a(n-1) - a(n-4), n > 3. From R. J. Mathar, Nov 02 2011: (Start) G.f.: (-1 + 3*x) / (1 - x + x^4). a(n) = 3*A099530(n-1) - A099530(n). (End) MAPLE A198862 := proc(n) add( A192011(n-k, k), k=0..floor(n/2)) ; end proc: seq(A198862(n), n=0..80) ; # R. J. Mathar, Nov 03 2011 CROSSREFS Sequence in context: A162203 A071455 A288724 * A349227 A264025 A139465 Adjacent sequences: A198859 A198860 A198861 * A198863 A198864 A198865 KEYWORD sign,easy AUTHOR Paul Curtz, Oct 30 2011 STATUS approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)