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 A245095 Triangle read by rows: T(n,k) = A006218(k)*A002865(n-k). 3
 1, 0, 3, 1, 0, 5, 1, 3, 0, 8, 2, 3, 5, 0, 10, 2, 6, 5, 8, 0, 14, 4, 6, 10, 8, 10, 0, 16, 4, 12, 10, 16, 10, 14, 0, 20, 7, 12, 20, 16, 20, 14, 16, 0, 23, 8, 21, 20, 32, 20, 28, 16, 20, 0, 27, 12, 24, 35, 32, 40, 28, 32, 20, 23, 0, 29, 14, 36, 40, 56, 40, 56, 32, 40, 23, 27, 0, 35 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row sums give A006128, n >= 1. Column 1 is A002865. Leading diagonal is A006218, n >= 1. For another version see A221530. LINKS EXAMPLE Triangle begins: 1; 0,   3; 1,   0,  5; 1,   3,  0,  8; 2,   3,  5,  0, 10; 2,   6,  5,  8,  0, 14; 4,   6, 10,  8, 10,  0, 16; 4,  12, 10, 16, 10, 14,  0, 20; 7,  12, 20, 16, 20, 14, 16,  0, 23; 8,  21, 20, 32, 20, 28, 16, 20,  0, 27; 12, 24, 35, 32, 40, 28, 32, 20, 23,  0, 29; 14, 36, 40, 56, 40, 56, 32, 40, 23, 27,  0, 35; ... For n = 6: ------------------------- k   A006218        T(6,k) ------------------------- 1      1  *  2   =    2 2      3  *  2   =    6 3      5  *  1   =    5 4      8  *  1   =    8 5     10  *  0   =    0 6     14  *  1   =   14 .         A002865 ------------------------- So row 6 is [2, 6, 5, 8, 0, 14] and the sum of row 6 is 2+6+5+8+0+14 = 35 equaling A006128(6) = 35. PROG (PARI) a006218(n) = sum(k=1, n, n\k); a002865(n) = if(n, numbpart(n)-numbpart(n-1), 1); row(n) = vector(n, i, a006218(i)*a002865(n-i)); \\ Michel Marcus, Jul 18 2014 CROSSREFS Cf. A000005, A000041, A002865, A006128, A006218, A221529, A221530, A245099. Sequence in context: A119302 A134560 A127626 * A154791 A121440 A324664 Adjacent sequences:  A245092 A245093 A245094 * A245096 A245097 A245098 KEYWORD nonn,tabl AUTHOR Omar E. Pol, Jul 14 2014 STATUS approved

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Last modified April 1 02:00 EDT 2020. Contains 333153 sequences. (Running on oeis4.)