A056579 1+2n+3n^2+4n^3+5n^4.

1, 15, 129, 547, 1593, 3711, 7465, 13539, 22737, 35983, 54321, 78915, 111049, 152127, 203673, 267331, 344865, 438159, 549217, 680163, 833241, 1010815, 1215369, 1449507, 1715953, 2017551, 2357265, 2738179, 3163497, 3636543

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) =(A053700(n+1)-A053700(n-1))/2-10n^2-4n-2.

G.f.: -(3*x^4+42*x^3+64*x^2+10*x+1) / (x-1)^5. - Colin Barker, May 04 2013

Example

For n>5 this is 54321 translated from base n to base 10

Mathematica

Join[{1}, Table[Total[Table[i n^(i-1), {i, 5}]], {n, 30}]] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 15, 129, 547, 1593}, 30] (* Harvey P. Dale, Sep 20 2017 *)

Prog

(PARI) a(n)=1+2*n+3*n^2+4*n^3+5*n^4 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Note: 1+2x+3x^2+4x^3+5x^4 is derivative of 1+x+x^2+x^3+x^4 +x^5, i.e. A053700. Cf. A000012, A005408, A056109, A056578.

Sequence in context: A283120 A209404 A127595 * A294054 A156922 A271791

Adjacent sequences: A056576 A056577 A056578 * A056580 A056581 A056582

Keyword

easy,nonn

Author

Henry Bottomley, Jun 29 2000

Status

approved