A380148 Triangle T(n, k), n > 0, k = 1..n, read by rows; T(n, 1) = A380112(n), and for any k in 2..n, T(n, k) = T(n, k-1) XOR T(n-1, k-1) (where XOR denotes the bitwise XOR operator).

1, 2, 3, 4, 6, 5, 8, 12, 10, 15, 16, 24, 20, 30, 17, 32, 48, 40, 60, 34, 51, 9, 41, 25, 49, 13, 47, 28, 18, 27, 50, 43, 26, 23, 56, 36, 64, 82, 73, 123, 80, 74, 93, 101, 65, 128, 192, 146, 219, 160, 240, 186, 231, 130, 195, 39, 167, 103, 245, 46, 142, 126, 196, 35, 161, 98

Offset: 1

Author

Rémy Sigrist, Jan 13 2025

Keywords

• nonn
• base
• tabl

Comments

This sequence corresponds to the XOR difference triangle associated with A380112. All terms are distinct.

Examples

			Triangle T(n, k) begins:
                        1
                      2   3
                    4   6   5
                  8   12  10  15
                16  24  20  30  17
              32  48  40  60  34  51
            9   41  25  49  13  47  28
          18  27  50  43  26  23  56  36
        64  82  73 123  80  74  93 101  65
     128 192 146 219 160 240 186 231 130 195
		

Links

• Rémy Sigrist, PARI program

Crossrefs

Cf. A099884, A380112.

Programs

PARI

\\ See Links section.