A083292 a(n) = n*floor(n/10) + (n mod 10).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 90, 94, 98, 102, 106, 110, 114, 118, 122, 126, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 250, 256, 262, 268, 274, 280, 286, 292, 298, 304, 360, 367, 374

Offset

0,3

Comments

a(n) = T(n,n), as defined in A083291.

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1).

Formula

a(n)= +a(n-1) +2*a(n-10) -2*a(n-11) -a(n-20) +a(n-21). - R. J. Mathar, Feb 20 2011

Example

a(25) = 25*2 + 5 = 55.

Mathematica

Table[n Floor[n/10]+Mod[n, 10], {n, 0, 70}] (* or *) LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 40}, 70] (* Harvey P. Dale, May 23 2015 *)

Crossrefs

Cf. A083291. Differs from A122618 starting at n = 100.

Sequence in context: A131242 A008728 A179052 * A122618 A033062 A060472

Adjacent sequences: A083289 A083290 A083291 * A083293 A083294 A083295

Keyword

nonn,easy

Author

Reinhard Zumkeller, Apr 23 2003

Status

approved