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.

A067427 Seventh column of triangle A067425.

Original entry on oeis.org

1, 10, 280, 7840, 219520, 6146560, 172103680, 4818903040, 134929285120, 3778019983360, 105784559534080, 2961967666954240, 82935094674718720, 2322182650892124160, 65021114224979476480, 1820591198299425341440
Offset: 0

Views

Author

Wolfdieter Lang, Jan 25 2002

Keywords

Links

Crossrefs

Cf. A067426 (sixth column), A067428 (eighth column), A009972 (powers of 28).

Programs

  • Magma
    [Ceiling(10*(4*7)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 03 2011
  • Mathematica
    LinearRecurrence[{28}, {1, 10}, 20] (* Paolo Xausa, Oct 16 2024 *)

Formula

a(n) = A067425(n+6, 6).
a(n) = 10*(4*7)^(n-1), n >= 1, a(0)=1.
G.f.: (1-18*x)/(1-28*x).

A067428 Eighth column of triangle A067425.

Original entry on oeis.org

1, 11, 352, 11264, 360448, 11534336, 369098752, 11811160064, 377957122048, 12094627905536, 387028092977152, 12384898975268864, 396316767208603648, 12682136550675316736, 405828369621610135552, 12986507827891524337664
Offset: 0

Views

Author

Wolfdieter Lang, Jan 25 2002

Keywords

Links

Crossrefs

Cf. A067427 (seventh column), A067429 (ninth column), A009976 (powers of 32).

Programs

  • Magma
    [Ceiling(11*(4*8)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 03 2011
  • Mathematica
    LinearRecurrence[{32}, {1, 11}, 20] (* Paolo Xausa, Oct 16 2024 *)

Formula

a(n) = A067425(n+7, 7).
a(n) = 11*(4*8)^(n-1), n > =1, a(0)=1.
G.f.: (1-21*x)/(1-32*x).

A067426 Sixth column of triangle A067425.

Original entry on oeis.org

1, 9, 216, 5184, 124416, 2985984, 71663616, 1719926784, 41278242816, 990677827584, 23776267862016, 570630428688384, 13695130288521216, 328683126924509184, 7888395046188220416, 189321481108517289984
Offset: 0

Views

Author

Wolfdieter Lang, Jan 25 2002

Keywords

Comments

The fifth column of A067425 gives [1, 8, 160, 3200, 64000, 1280000, 25600000, ...].

Links

Crossrefs

Cf. A009968 (powers of 24), A067404 (fourth column), A067425, A067427 (seventh column).

Programs

Formula

a(n) = A067425(n+5, 5).
a(n) = 9*(4*6)^(n-1), n >= 1, a(0)=1.
G.f.: (1-15*x)/(1-24*x).
E.g.f.: (3*exp(24*x) + 5)/8. - Stefano Spezia, Oct 15 2024

A067429 Ninth column of triangle A067425.

Original entry on oeis.org

1, 12, 432, 15552, 559872, 20155392, 725594112, 26121388032, 940369969152, 33853318889472, 1218719480020992, 43873901280755712, 1579460446107205632, 56860576059859402752, 2046980738154938499072, 73691306573577785966592
Offset: 0

Views

Author

Wolfdieter Lang, Jan 25 2002

Keywords

Links

Crossrefs

Cf. A067428 (eighth column), A009980 (powers of 36).

Programs

  • Magma
    [Ceiling(12*(4*9)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 03 2011
  • Mathematica
    Join[{1},NestList[36#&,12,20]] (* Harvey P. Dale, Feb 28 2017 *)

Formula

a(n) = A067425(n+8, 8).
a(n) = 12*(4*9)^(n-1), n >= 1, a(0)=1.
G.f.: (1-24*x)/(1-36*x).
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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