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 A179901 Triangle read by rows, antidiagonals of an array generated from (1, r, r, r,...) convolved with (1, 0, r, r, r,...). 2
 1, 1, 1, 1, 2, 2, 1, 3, 4, 3, 1, 4, 6, 8, 4, 1, 5, 8, 15, 12, 5, 1, 6, 10, 24, 24, 16, 6, 1, 7, 12, 35, 40, 33, 20, 7, 1, 8, 14, 48, 60, 56, 42, 24, 8, 1, 9, 16, 63, 84, 85, 70, 51, 28, 9, 1, 10, 18, 80, 112, 120, 110, 88, 60, 32, 10, 1, 11, 20, 99, 144, 161, 156, 135, 104, 69, 36, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Row sums = A179902: (1, 2, 5, 11, 23, 46, 87, 155,...) LINKS FORMULA Triangle read by rows, antidiagonals of an array generated from (1, r, r, r,...) convolved with (1, 0, r, r, r,...); such than the r-th row of the array = (1, r, 2*r,...) then for n>3, a(n) = r^2 + a(n-1). EXAMPLE First few rows of the array = . 1,.1,..2,...3,...4,...5,...6,...7,....8,... 1,.2,..4,...8,..12,..16...20,..24,...28,... = A019442 1,.3,..6,..15,..24,..33,..42,..51,...60,... = A179805 1,.4,..8,..24,..40,..56,..70,..88,..104,... . Example: row 4 = (1, 4, 8, 24,...) = (1, 4, 4, 4,...) * (1, 0, 4, 4, 4,...) = (1, r, 2*r, (2*r + r^2),...) . First few rows of the triangle = . 1, 1, 1; 1, 2, 2; 1, 3, 4, 3; 1, 4, 6, 8, 4; 1, 5, 8, 15, 12, 5; 1, 6, 10, 24, 24, 16, 6; 1, 7, 12, 35, 40, 33, 20, 7; 1, 8, 14, 48, 60, 56, 42, 24, 8; 1, 9, 16, 63, 84, 85, 70, 51, 28, 9; 1, 10, 18, 80, 112, 120, 110, 88, 60, 32, 10; 1, 11, 20, 99, 144, 161, 156, 135, 104, 69, 36, 11; 1, 12, 22, 120, 180, 208, 210, 192, 160, 120, 78, 40, 12; 1, 13, 24, 143, 220, 261, 272, 259, 228, 185, 136, 87, 44, 13; ... CROSSREFS Cf. A019442, A179805 Sequence in context: A182630 A208805 A208514 * A209561 A283822 A210789 Adjacent sequences:  A179898 A179899 A179900 * A179902 A179903 A179904 KEYWORD nonn,tabf AUTHOR Gary W. Adamson, Jul 31 2010 STATUS approved

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Last modified October 17 06:08 EDT 2019. Contains 328106 sequences. (Running on oeis4.)