A069475 -id:A069475 - cp's OEIS frontend

A069476 First differences of A069475, successive differences of (n+1)^6-n^6.

1800, 2520, 3240, 3960, 4680, 5400, 6120, 6840, 7560, 8280, 9000, 9720, 10440, 11160, 11880, 12600, 13320, 14040, 14760, 15480, 16200, 16920, 17640, 18360, 19080, 19800, 20520, 21240, 21960, 22680, 23400, 24120, 24840, 25560, 26280, 27000

Offset: 0

Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Mar 26 2002

Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A001014, A020735, A022522, A069473, A069474, A069475.

Table[720 n + 1800, {n, 0, 40}] (* Bruno Berselli, Feb 25 2015 *)

a(n) = 720*n + 1800 = 360*A020735(n+1).

G.f.: 360*(5 - 3*x)/(1 - x)^2. [Bruno Berselli, Feb 25 2015]

Offset changed from 1 to 0 and added a(0)=1800 by Bruno Berselli, Feb 25 2015

A069473 First differences of (n+1)^6-n^6 (A022522).

Original entry on oeis.org

62, 602, 2702, 8162, 19502, 39962, 73502, 124802, 199262, 303002, 442862, 626402, 861902, 1158362, 1525502, 1973762, 2514302, 3159002, 3920462, 4812002, 5847662, 7042202, 8411102, 9970562, 11737502, 13729562, 15965102, 18463202

Offset: 0

Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Mar 26 2002

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

Cf. A001014, A022522, A069474, A069475, A069476, A068236.

[30*n^4+120*n^3+210*n^2+180*n+62: n in [0..30]]; // Bruno Berselli, Feb 25 2015

Differences[Table[(n + 1)^6 - n^6, {n, 0, 30}]] (* Harvey P. Dale, Dec 27 2011 *)

a(n) = 30*n^4 + 120*n^3 + 210*n^2 + 180*n + 62.

G.f.: 2*(31 + 146*x + 156*x^2 + 26*x^3 + x^4)/(1 - x)^5. [Bruno Berselli, Feb 25 2015]

Offset changed from 1 to 0 and added a(0)=62 by Bruno Berselli, Feb 25 2015

A069474 First differences of A069473.

Original entry on oeis.org

540, 2100, 5460, 11340, 20460, 33540, 51300, 74460, 103740, 139860, 183540, 235500, 296460, 367140, 448260, 540540, 644700, 761460, 891540, 1035660, 1194540, 1368900, 1559460, 1766940, 1992060, 2235540, 2498100, 2780460, 3083340

Offset: 0

Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Mar 26 2002

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Cf. A001014, A022522, A069473, A069475, A069476.

Equals 60 * A005898(n+1).

Differences[Table[(n + 1)^6 - n^6, {n, 0, 30}], 2] (* Harvey P. Dale, Dec 27 2011 *)

a(n) = 120*n^3 + 540*n^2 + 900*n + 540.

G.f.: 60*(9 - x + 5*x^2 - x^3)/(1 - x)^4. [Bruno Berselli, Feb 25 2015]

Offset changed from 1 to 0 and added a(0)=540 by Bruno Berselli, Feb 25 2015

cp's OEIS Frontend

A069476 First differences of A069475, successive differences of (n+1)^6-n^6.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

Extensions

A069473 First differences of (n+1)^6-n^6 (A022522).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

Extensions

A069474 First differences of A069473.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

Extensions