A088812 -id:A088812 - cp's OEIS frontend

A088810 Number of subsets of {1, ..., n} that are double-free but not sum-free.

0, 0, 0, 0, 1, 4, 6, 18, 35, 84, 137, 323, 591, 1313, 2033, 4360, 7406, 15581, 23682, 49184, 84017, 171744, 259818, 528784, 853143, 1727011, 2601181, 5243126, 8784832, 17662987, 26541257, 53279330, 86241323, 172871156, 259534578, 519917139

Offset: 0

Reinhard Zumkeller, Oct 19 2003

nonn

Fausto A. C. Cariboni, Table of n, a(n) for n = 0..88
Eric Weisstein's World of Mathematics, Double-Free Set
Eric Weisstein's World of Mathematics, Sum-Free Set
Reinhard Zumkeller, Illustration of initial terms

a(n) = A050291(n) - A007865(n) = A088809(n) - A088812(n).

Terms a(28) and beyond from Fausto A. C. Cariboni, Sep 27 2020

A088811 Number of subsets of {1, ..., n} that are sum-free but not double-free.

Original entry on oeis.org

0, 0, 1, 1, 4, 6, 13, 19, 41, 54, 110, 157, 277, 394, 706, 970, 1691, 2376, 3905, 5494, 9130, 12355, 20262, 28146, 44316, 61761, 98023, 132891, 207912, 285667, 440118, 604322, 929737, 1252232, 1921062, 2625852, 3933025, 5351483, 8085728, 10856110

Offset: 0

Reinhard Zumkeller, Oct 19 2003

nonn

Fausto A. C. Cariboni, Table of n, a(n) for n = 0..75
Eric Weisstein's World of Mathematics, Double-Free Set
Eric Weisstein's World of Mathematics, Sum-Free Set
Reinhard Zumkeller, Illustration of initial terms

a(n) = A088808(n) - A088812(n) = A085489(n) - A007865(n).

Terms a(28) and beyond from Fausto A. C. Cariboni, Sep 28 2020

A088813 Number of subsets of {1, ..., n} that are double-free or sum-free.

Original entry on oeis.org

1, 2, 4, 7, 14, 26, 43, 79, 137, 246, 398, 733, 1237, 2314, 3586, 6730, 11051, 21096, 31985, 61654, 102730, 199555, 301062, 589746, 942876, 1858881, 2793703, 5524251, 9193512, 18256867, 27396918, 54517922, 88020937, 175434632, 263194662, 525173052

Offset: 0

Reinhard Zumkeller, Oct 19 2003

nonn

Fausto A. C. Cariboni, Table of n, a(n) for n = 0..75
Eric Weisstein's World of Mathematics, Double-Free Set
Eric Weisstein's World of Mathematics, Sum-Free Set

a(n) = 2^n - A088812(n) = A050291(n)+A085489(n)-A007865(n).

Terms a(28) and beyond from Fausto A. C. Cariboni, Sep 29 2020

cp's OEIS Frontend

A088810 Number of subsets of {1, ..., n} that are double-free but not sum-free.

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A088811 Number of subsets of {1, ..., n} that are sum-free but not double-free.

Views

Author

Keywords

Links

Formula

Extensions

A088813 Number of subsets of {1, ..., n} that are double-free or sum-free.

Views

Author

Keywords

Links

Formula

Extensions