A076448 Numbers one more than a power of 2 which are the sum of n consecutive numbers one more than a power of 2.

5, 17, 129, 4097, 2097153, 274877906945, 2361183241434822606849, 87112285931760246646623899502532662132737, 59285549689505892056868344324448208820874232148807968788202283012051522375647233

Offset

2,1

Links

Table of n, a(n) for n=2..10.

Formula

a(n) =2^(2^(n-2)+n-1)+1 = A000051(A005126(n-2)).

Example

a(2)=5=2+3, a(3)=17=3+5+9, a(4)=129=5+9+17+33+65.

Crossrefs

Sequence in context: A113936 A365295 A012263 * A096310 A236530 A249520

Adjacent sequences: A076445 A076446 A076447 * A076449 A076450 A076451

Keyword

nonn

Author

Henry Bottomley, Nov 07 2002

Status

approved