A077340 Final terms of rows in A077339.

1, 20, 31, 42, 53, 64, 75, 86, 97, 108, 119, 1200, 1301, 1402, 1503, 1604, 1705, 1806, 1907, 2008, 2109, 2210, 2311, 2412, 2513, 2614, 2715, 2816, 2917, 3018, 3119, 3220, 3321, 3422, 3523, 3624, 3725, 3826, 3927, 4028

Offset: 1

Author

Amarnath Murthy, Nov 05 2002

Keywords

• base
• easy
• nonn

Comments

n-th number beginning with n. Can anyone derive a formula for a(n)?

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A077339, A077341, A077342, A077343.

Programs

Maple

seq(seq(10^k*(m+(10^k+8)/9)+m, m=0..10^k-1),k=0..3); # Robert Israel, Aug 08 2018

PARI

A077340(n)=A077339(n,n) \\ M. F. Hasler, Jan 07 2013

Formula

From Robert Israel, Aug 08 2018: (Start)

a(m+(10^k+8)/9) = 10^k*(m+(10^k+8)/9)+m for 0 <= m < 10^k.

G.f.: (1-x)^(-2)*(x+x^2 + Sum_{k>=1} ((10^(2*k-1)+7*10^(k-1))*x^((10^k+8)/9) + (-10^(2*k-1)+2*10^(k-1))*x^((10^k+17)/9))).

(End)

Extensions

Definition corrected by M. F. Hasler, Jan 07 2013