A230116 Value of row n in triangle A166360 when seen as binary number.

1, 3, 7, 9, 17, 51, 127, 129, 257, 771, 1799, 2313, 4369, 13107, 32767, 32769, 65537, 196611, 458759, 589833, 1114129, 3342387, 8323199, 8454273, 16843009, 50529027, 117901063, 151587081, 286331153, 858993459, 2147483647, 2147483649, 4294967297, 12884901891

Offset: 1

Author

Reinhard Zumkeller, Oct 10 2013

Keywords

• nonn

Comments

a(n) = sum(A166360(n,k)*2^(k-1): k=1..n).

Examples

			.   n         A166360(n,1..n)             A007088(a(n))    a(n)
. ---  -----------------------------    ---------------   -----
.   1                1                                1       1
.   2               1 1                              11       3
.   3              1 1 1                            111       7
.   4             1 0 0 1                          1001       9
.   5            1 0 0 0 1                        10001      17
.   6           1 1 0 0 1 1                      110011      51
.   7          1 1 1 1 1 1 1                    1111111     127
.   8         1 0 0 0 0 0 0 1                  10000001     129
.   9        1 0 0 0 0 0 0 0 1                100000001     257
.  10       1 1 0 0 0 0 0 0 1 1              1100000011     771
.  11      1 1 1 0 0 0 0 0 1 1 1            11100000111    1799
.  12     1 0 0 1 0 0 0 0 1 0 0 1          100100001001    2313
.  13    1 0 0 0 1 0 0 0 1 0 0 0 1        1000100010001    4369
.  14   1 1 0 0 1 1 0 0 1 1 0 0 1 1      11001100110011   13107
.  15  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1    111111111111111   32767 .
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001317, A001263.

Programs

Haskell

a230116 = foldr (\u v-> 2*v + u) 0 . map toInteger . a166360_row