cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A075356 Sum of terms in n-th group in A075352.

Original entry on oeis.org

1, 2, 7, 11, 24, 33, 58, 74, 115, 140, 201, 237, 273, 364, 413, 532, 596, 747, 828, 1015, 1115, 1342, 1463, 1734, 1878, 2022, 2353, 2522, 2905, 3101, 3540, 3765, 4264, 4520, 5083, 5372, 6003, 6327, 7030, 7391, 7752, 8550, 8950, 9828, 10269, 11231, 11715
Offset: 1

Views

Author

Amarnath Murthy, Sep 19 2002

Keywords

Crossrefs

Formula

a(n) = A075355(n)*(A075354(n)+A075353(n))/2. - David Wasserman, Jan 16 2005

Extensions

More terms from David Wasserman, Jan 16 2005

A075352 Group the natural numbers so that the product of the terms of the n-th group is just >= n!: (1), (2), (3, 4), (5, 6), (7, 8, 9), (10, 11, 12), (13, 14, 15, 16), (17, 18, 19, 20), (21, 22, 23, 24, 25), (26, 27, 28, 29, 30), ... Sequence gives product of numbers in each group.

Original entry on oeis.org

1, 2, 12, 30, 504, 1320, 43680, 116280, 6375600, 17100720, 1402410240, 3776965920, 8835488640, 1022755734000, 2478652606080, 380634949094400, 945378254620800, 186127248627129600, 470489622136934400, 115590003914312928000
Offset: 1

Views

Author

Amarnath Murthy, Sep 19 2002

Keywords

Crossrefs

Extensions

More terms from David Wasserman, Jan 16 2005

A075353 Initial term of n-th group in A075352.

Original entry on oeis.org

1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 49, 56, 63, 71, 79, 88, 97, 107, 117, 128, 139, 151, 163, 175, 188, 201, 215, 229, 244, 259, 275, 291, 308, 325, 343, 361, 380, 399, 418, 438, 458, 479, 500, 522, 544, 567, 590, 614, 638, 663, 688, 714, 740, 767, 794
Offset: 1

Views

Author

Amarnath Murthy, Sep 19 2002

Keywords

Crossrefs

Formula

a(n) = A075354(n-1)+1 = a(n-1)+A075355(n-1). - M. F. Hasler, Jul 19 2012

Extensions

More terms from David Wasserman, Jan 16 2005

A075354 Final term of n-th group in A075352.

Original entry on oeis.org

1, 2, 4, 6, 9, 12, 16, 20, 25, 30, 36, 42, 48, 55, 62, 70, 78, 87, 96, 106, 116, 127, 138, 150, 162, 174, 187, 200, 214, 228, 243, 258, 274, 290, 307, 324, 342, 360, 379, 398, 417, 437, 457, 478, 499, 521, 543, 566, 589, 613, 637, 662, 687, 713, 739, 766, 793
Offset: 1

Views

Author

Amarnath Murthy, Sep 19 2002

Keywords

Crossrefs

Formula

a(n) = A075353(n+1)-1 = a(n-1)+A075355(n). - M. F. Hasler, Jul 19 2012

Extensions

More terms from David Wasserman, Jan 16 2005
Showing 1-4 of 4 results.