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

1,2

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

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)

Maple

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

Prog

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

Crossrefs

Cf. A077339, A077341, A077342, A077343.

Sequence in context: A053679 A158844 A396160 * A077343 A218793 A116131

Adjacent sequences: A077337 A077338 A077339 * A077341 A077342 A077343

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 05 2002

Extensions

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

Status

approved