A214440 -id:A214440 - cp's OEIS frontend

A214432 Indices for which A046825, the numerator of sum( 1/binomial(n,i), i=0..n ), sets a new record.

1, 2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 18, 19, 22, 23, 25, 26, 27, 28, 29, 30, 31, 37, 38, 39, 40, 41, 42, 43, 46, 47, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 66, 67, 70, 71, 72, 73, 78, 79, 82, 83, 88, 89, 90, 91, 93, 94, 96, 97, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110

Offset: 1

M. F. Hasler, Jul 17 2012

nonn

It might be more interesting to consider the indices not in this sequence. A subsequence of these is A214440, indices where A046825 is not strictly increasing. - M. F. Hasler, Jul 19 2012

m=0;for(n=1,999,(m>=t=A046825(n))&next;m=t;print1(n","))

A214453 Odd indices n for which A046825(n) is not larger than A046825(n-1).

Original entry on oeis.org

15, 75, 85, 95, 299, 375, 377, 425, 465, 475, 485, 747, 901, 1057, 1241, 1271, 1875, 2125, 2375, 2425, 2475, 2485, 2495, 2597, 3473, 3955, 4015, 4531, 5055, 6877, 9039, 9375, 10519, 10553, 10625, 10933, 11397, 11875, 12125, 12375, 12425, 12475, 14415, 14659, 15763, 16485, 17869

Offset: 1

M. F. Hasler, Jul 19 2012

nonn

Most terms of A214440 are even, which makes it interesting to look at the subsequence of odd terms.

See A214432 for the indices where A046825 sets a new record.

t=S=1; for(n=0,99999, t+0>=(t=numerator(S)) & bittest(n,0) & print1(n,","); S=S/2/(n+1)*(n+2)+1)

cp's OEIS Frontend

A214432 Indices for which A046825, the numerator of sum( 1/binomial(n,i), i=0..n ), sets a new record.

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