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.

User: Anders Wallberg

Anders Wallberg's wiki page.

Anders Wallberg has authored 2 sequences.

A259080 Expressed in base n, the number (n+1)^n.

Original entry on oeis.org

1001, 2101, 21301, 222101, 2304401, 23553101, 244153501, 2520607101, 25937424601, 267120945101
Offset: 2

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Author

Anders Wallberg, Jun 18 2015

Keywords

Comments

a(12) cannot be represented in base 12 using only the digits 0, 1, ..., 9.

Examples

			For n=2, (n+1)^n is 9 and 9 = 1001_2.

Programs

  • Mathematica
    Table[FromDigits@ IntegerDigits[(n + 1)^n, n], {n, 2, 11}] (* Michael De Vlieger, Jun 19 2015 *)
  • PARI
    a(n) = subst(Pol(digits((n+1)^n, n)), x, 10); \\ Michel Marcus, Jun 18 2015

A259076 Powers of 80.

Original entry on oeis.org

1, 80, 6400, 512000, 40960000, 3276800000, 262144000000, 20971520000000, 1677721600000000, 134217728000000000, 10737418240000000000, 858993459200000000000, 68719476736000000000000, 5497558138880000000000000, 439804651110400000000000000, 35184372088832000000000000000
Offset: 0

Views

Author

Anders Wallberg, Jun 18 2015

Keywords

Comments

Let T_n denote the n X n matrix with T_n(i,j) = 9^abs(i-j); then a(n) = abs(det(T_(n+1))). - Lechoslaw Ratajczak, Jun 17 2021

Links

Crossrefs

Cf. A001018, A011557.

Programs

Formula

a(n) = A001018(n) * A011557(n).
From Elmo R. Oliveira, Aug 14 2024: (Start)
G.f.: 1/(1-80*x).
E.g.f.: exp(80*x).
a(n) = 80*a(n-1), n > 0. (End)

Extensions

a(13)-a(15) from Elmo R. Oliveira, Aug 14 2024

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