A026769 -id:A026769 - cp's OEIS frontend

A026891 a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026769.

1, 1, 3, 4, 12, 17, 51, 74, 224, 328, 1008, 1478, 4630, 6767, 21663, 31472, 103100, 148642, 498520, 712648, 2446218, 3466398, 12167456, 17093556, 61276838, 85380372, 312096590, 431554188, 1605820974, 2205077509

Offset: 1

Clark Kimberling

nonn

A027238 Greatest number in row n of array T given by A026769.

Original entry on oeis.org

1, 1, 2, 4, 7, 17, 31, 76, 156, 352, 784, 1674, 3962, 8129, 20173, 43193, 103522, 230536, 535294, 1231484, 2787700, 6591350, 14613710, 35369380, 77886902, 190329098, 428113940, 1027180798, 2353823912, 5559635866, 12950837432

Offset: 0

Clark Kimberling

nonn

A027239 Self-convolution of row n of array T given by A026769.

Original entry on oeis.org

1, 2, 6, 26, 99, 456, 1898, 9014, 39336, 190852, 859314, 4240598, 19544133, 97854958, 459521694, 2330612590, 11118124352, 57054108568, 275911990190, 1431214323258, 7005088758798, 36699584733594, 181565142550974, 959959866168434, 4795243608222520, 25566993157191804

Offset: 0

Clark Kimberling

nonn

More terms from Sean A. Irvine, Oct 26 2019

A027240 a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.

Original entry on oeis.org

1, 4, 19, 80, 391, 1738, 8797, 40878, 212491, 1023392, 5426518, 26891674, 144717381, 733600690, 3991767587, 20603079346, 113049604075, 591971513924, 3269119157724, 17319091807608, 96127613360983, 514139933872914, 2865265217457906, 15446276427044382, 86367699910234830

Offset: 1

Clark Kimberling

nonn

More terms from Sean A. Irvine, Oct 26 2019

A027241 a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026769.

Original entry on oeis.org

1, 7, 38, 201, 991, 5119, 25108, 131207, 652171, 3467959, 17536482, 94772169, 487259131, 2668269045, 13920305080, 77008669339, 406737748473, 2267418205201, 12099265896022, 67836037484417, 365071772684071, 2055622507395167, 11141223793940397, 62938095325080771

Offset: 2

Clark Kimberling

nonn

More terms from Sean A. Irvine, Oct 26 2019

A027242 a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026769.

Original entry on oeis.org

1, 10, 68, 402, 2258, 12072, 64963, 338824, 1817063, 9467940, 51258781, 269085042, 1475551064, 7822940886, 43422818989, 232480179882, 1303561020575, 7040175844640, 39786449049369, 216469879238194, 1230485470688864, 6736096483008440, 38451562317699992, 211571284685596944

Offset: 3

Clark Kimberling

nonn

More terms from Sean A. Irvine, Oct 26 2019

A027243 a(n) = Sum_{k=0..n} (k+1) * A026769(n, k).

Original entry on oeis.org

1, 3, 8, 22, 55, 143, 349, 885, 2138, 5356, 12890, 32092, 77178, 191530, 460934, 1141888, 2751551, 6809421, 16431189, 40633227, 98175341, 242626935, 586867463, 1449457735, 3509084995, 8661201115, 20982916461, 51755457003

Offset: 0

Clark Kimberling

nonn

A027244 a(n) = Sum_{k=0..n} (k+1) * A026769(n, n-k).

Original entry on oeis.org

1, 3, 8, 23, 59, 158, 395, 1023, 2522, 6414, 15694, 39486, 96226, 240470, 584762, 1454777, 3533743, 8763720, 21276031, 52642872, 127770797, 315574532, 765852193, 1888788990, 4583560631, 11290381790, 27397549743, 67414670138

Offset: 0

Clark Kimberling

nonn

A027245 Sum of squares of numbers in row n of array T given by A026769.

Original entry on oeis.org

1, 2, 6, 27, 103, 501, 2139, 10792, 49236, 254818, 1216292, 6413110, 31636466, 169144070, 855396960, 4622049129, 23826659677, 129808799035, 679300244477, 3725129805623, 19729309518411, 108766381583871, 581694364620265, 3220950106534343, 17364753783310851

Offset: 0

Clark Kimberling

nonn

More terms from Sean A. Irvine, Oct 26 2019

cp's OEIS Frontend

A026891 a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026769.

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A027238 Greatest number in row n of array T given by A026769.

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A027239 Self-convolution of row n of array T given by A026769.

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Extensions

A027240 a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.

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Extensions

A027241 a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026769.

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Extensions

A027242 a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026769.

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Extensions

A027243 a(n) = Sum_{k=0..n} (k+1) * A026769(n, k).

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A027244 a(n) = Sum_{k=0..n} (k+1) * A026769(n, n-k).

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Author

Keywords

A027245 Sum of squares of numbers in row n of array T given by A026769.

Views

Author

Keywords

Extensions