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

1,2

Comments

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

Links

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

Example

.   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 .

Prog

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

Crossrefs

Cf. A001317, A001263.

Sequence in context: A036978 A079464 A036976 * A361005 A031273 A140118

Adjacent sequences: A230113 A230114 A230115 * A230117 A230118 A230119

Keyword

nonn

Author

Reinhard Zumkeller, Oct 10 2013

Status

approved