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 A172381 Triangle whose inverse has production matrix with general term (-1)^(n-k+1)*C(k+1, n-k+1). 2
 1, 1, 1, 2, 3, 1, 5, 10, 6, 1, 14, 36, 31, 10, 1, 42, 137, 156, 75, 15, 1, 132, 544, 787, 510, 155, 21, 1, 429, 2235, 4017, 3331, 1380, 287, 28, 1, 1430, 9445, 20809, 21405, 11411, 3255, 490, 36, 1, 4862, 40876, 109486, 136921, 90665, 33390, 6916, 786, 45, 1, 16796 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Product of A033184 and A172380. Diagonal sums are A172382(n+2). LINKS EXAMPLE Triangle begins 1, 1, 1, 2, 3, 1, 5, 10, 6, 1, 14, 36, 31, 10, 1, 42, 137, 156, 75, 15, 1, 132, 544, 787, 510, 155, 21, 1, 429, 2235, 4017, 3331, 1380, 287, 28, 1, 1430, 9445, 20809, 21405, 11411, 3255, 490, 36, 1, 4862, 40876, 109486, 136921, 90665, 33390, 6916, 786, 45, 1, 16796, 180544, 584955, 877252, 704720, 322728, 86443, 13536, 1200, 55, 1 Production array of inverse is -1, 1, 0, -2, 1, 0, 1, -3, 1, 0, 0, 3, -4, 1, 0, 0, -1, 6, -5, 1, 0, 0, 0, -4, 10, -6, 1, 0, 0, 0, 1, -10, 15, -7, 1, 0, 0, 0, 0, 5, -20, 21, -8, 1, 0, 0, 0, 0, -1, 15, -35, 28, -9, 1, 0, 0, 0, 0, 0, -6, 35, -56, 36, -10, 1, 0, 0, 0, 0, 0, 1, -21, 70, -84, 45, -11, 1 CROSSREFS Sequence in context: A105640 A090299 A060693 * A089302 A049020 A299105 Adjacent sequences:  A172378 A172379 A172380 * A172382 A172383 A172384 KEYWORD nonn,tabl AUTHOR Paul Barry, Feb 01 2010 STATUS approved

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Last modified December 4 15:27 EST 2020. Contains 338927 sequences. (Running on oeis4.)