A210886 Dates after Jan 01 1000 in chronological order which are palindromic when they are written in the format DDMMYYYY. Leading zeros of the terms are suppressed.

10011001, 20011002, 30011003, 1011010, 11011011, 21011012, 31011013, 2011020, 12011021, 22011022, 3011030, 13011031, 23011032, 4011040, 14011041, 24011042, 5011050, 15011051, 25011052, 6011060, 16011061, 26011062, 7011070, 17011071, 27011072, 8011080, 18011081, 28011082, 9011090, 19011091

Offset

1,1

Comments

There are exactly 335 such palindromic dates between Jan 1 1000 and Dec 31 9999 (see b-file for the complete list).

See A210885 for the number of days after 'Jan 1 1000' to get such a palindromic date.

The first palindromic dates after 'Jan 01 2000' are 10022001, 20022002, 1022010, 11022011, 21022012, 2022020, 12022021, 22022022, 3022030, 13022031, 23022032, 4022040, 14022041, 24022042, 5022050, ... which are the 62nd, 63rd, ... 76th ... dates of the original sequence.

Links

Hieronymus Fischer, Table of n, a(n) for n = 1..335

Formula

a(n)=DDMMYYYY_date('Jan 1 1000' + A210885(n)).

n-th date after 'Jan 1 2000' = a(61+n).

Example

The first palindromic date in DDMMYYYY format after 'Jan 01 1000' is a(1)=10011001 (= 'Jan 10 1001' = 'Jan 01 1000' + A210885(1) days);
The fourth palindromic date in DDMMYYYY format after 'Jan 01 1000' is a(4)=1011010=01011010 (= 'Jan 01 1010' = 'Jan 01 1000' + A210885(4) days);
The 66th palindromic date in DDMMYYYY format after 'Jan 01 1000' is a(66)=21022012 (= 'Feb 21 2012' = 'Jan 01 1000' + A210885(66) days)
The last (335th) palindromic date in DDMMYYYY format before the year 10000 is a(335)=29099092 (= 'Sep 29 9092' = 'Jan 01 1000' + A210885(335) days).

Crossrefs

Cf. A210883 - A210885, A210887 - A210895, A106605, A107273, A107275.

Sequence in context: A106605 A210884 A107275 * A179507 A155512 A155513

Adjacent sequences: A210883 A210884 A210885 * A210887 A210888 A210889

Keyword

nonn,base

Author

Hieronymus Fischer, Apr 01 2012

Status

approved