A108396 -id:A108396 - cp's OEIS frontend

A108397 Sums of rows of the triangle in A108396.

0, 2, 10, 66, 692, 9780, 167982, 3362828, 76695880, 1961316270, 55555555610, 1726135607262, 58359930206844, 2132745542253872, 83767436069591302, 3518790190560477240, 157412216095654840592, 7471013615160978901626

Offset: 0

Reinhard Zumkeller, Jun 02 2005

nonn

Reinhard Zumkeller, Table of n, a(n) for n = 0..250

Cf. A007778, A062970.

a108397 0 = 0
a108397 1 = 2
a108397 n = n * (n^(n+1) + n^2 - 2) `div` (2 * (n-1))
-- Reinhard Zumkeller, Mar 31 2015

a(n) = n*(n^(n+1) + n^2 - 2) / (2*(n-1)) for n>1.

A108398 a(n) = n*(1 + n^n)/2.

Original entry on oeis.org

0, 1, 5, 42, 514, 7815, 139971, 2882404, 67108868, 1743392205, 50000000005, 1569214188366, 53496602689542, 1968688192849651, 77784047778906119, 3284204177856445320, 147573952589676412936, 7031542226033862495513

Offset: 0

Reinhard Zumkeller, Jun 02 2005

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Cf. A000312, A000217.

Cf. A108396, A256512.

a108398 n = n * (1 + n ^ n) `div` 2  -- Reinhard Zumkeller, Mar 31 2015

[n*(1+n^n)/2: n in [0..25]]; // Vincenzo Librandi, Apr 29 2011

a(n) = A108396(n,n).

E.g.f.: (exp(x) * x - LambertW(-x)/(1 + LambertW(-x))^3) / 2. - Vaclav Kotesovec, Jan 03 2019

A256512 n(1+(2n)^n).

Original entry on oeis.org

0, 3, 34, 651, 16388, 500005, 17915910, 737894535, 34359738376, 1785233613321, 102400000000010, 6427501315524619, 438244169232678924, 32254987351648575501, 2548827677619195478030, 215233605000000000000015, 19342813113834066795298832

Offset: 0

Reinhard Zumkeller, Mar 31 2015

nonn

a(n) = A108396(2*n,n): central terms of the triangle A108396.

Reinhard Zumkeller, Table of n, a(n) for n = 0..250

Cf. A062971, A108396, A108398.

Haskell
```
a256512 n = n * (1 + (2 * n) ^ n)
```

Join[{0},Table[n(1+(2n)^n),{n,20}]] (* Harvey P. Dale, Aug 05 2021 *)

cp's OEIS Frontend

A108397 Sums of rows of the triangle in A108396.

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Formula

A108398 a(n) = n*(1 + n^n)/2.

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Author

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Haskell

Magma

Formula

A256512 n(1+(2n)^n).

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Haskell

Mathematica

cp's OEIS Frontend

A108397 Sums of rows of the triangle in A108396.

Views

Author

Keywords

Links

Crossrefs

Programs

Haskell

Formula

A108398 a(n) = n*(1 + n^n)/2.

Views

Author

Keywords

Links

Crossrefs

Programs

Haskell

Magma

Formula

A256512 n*(1+(2*n)^n).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Haskell

Mathematica

A256512 n(1+(2n)^n).