cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A210895 Dates after Jan 01 00 in chronological order which are palindromic when they are written according to the format MMDDYY (American standard, short). Leading zeros of the terms are suppressed.

Original entry on oeis.org

101101, 102201, 11110, 12210, 111111, 112211, 21120, 22220, 121121, 122221, 31130, 32230, 41140, 42240, 51150, 52250, 61160, 62260, 71170, 72270, 81180, 82280, 91190, 92290
Offset: 1

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Author

Hieronymus Fischer, Apr 01 2012

Keywords

Comments

There are exactly 24 such palindromic dates between Jan 1 00 and Dec 31 99 (see b-file for the complete list).
See A210894 for the number of days after 'Mar 1 00' to get such a palindromic date.

Examples

			The first palindromic date in MMDDYY format after 'Jan 01 00' is a(1)=101101 (= 'Oct 11 01' = 'Mar 01 00' + A210894(1) days);
The third palindromic date in MMDDYY format after 'Jan 01 00' is a(3)=11110=011110 (= 'Jan 11 10' = 'Mar 01 00' + A210894(3) days);
The 10th palindromic date in MMDDYY format after 'Jan 01 00' is a(10)=122221 (= 'Dec 22 21' = 'Mar 01 00' + A210894(10) days).
The last (24th) palindromic date in MMDDYY format after 'Jan 01 00' is a(24)=92290=092290 (= 'Sep 22 90' = 'Mar 01 00' + A210894(24) days).
		

Crossrefs

Formula

a(n) = MMDDYY_date('Mar 1 00' + A210894(n)).

A210893 Dates after Jan 01 1000 in chronological order which are palindromic when they are written according to the format MMDDYYYY (American standard). Leading zeros of the terms are suppressed.

Original entry on oeis.org

10011001, 1011010, 11011011, 2011020, 12011021, 3011030, 4011040, 5011050, 6011060, 7011070, 8011080, 9011090, 10111101, 1111110, 11111111, 2111120, 12111121, 3111130, 4111140, 5111150, 6111160, 7111170, 8111180, 9111190, 10211201, 1211210, 11211211, 2211220, 12211221
Offset: 1

Views

Author

Hieronymus Fischer, Apr 01 2012

Keywords

Comments

There are exactly 331 such palindromic dates between Jan 1 1000 and Dec 31 9999 (see b-file for the complete list).
Dates palindromic in the MMDDYYYY format are also palindromic in the YYYYMMDD format. Consequently, this sequence represents the same dates as A210884.
See A210883 for the number of days after Jan 1 1000 to get such a palindromic date.
The first such palindromic dates after Jan 01 2000 are 10022001, 1022010, 11022011, 2022020, 12022021, 3022030, 4022040, 5022050, 6022060, 7022070, 8022080, 9022090, 10122101, which are the 44th, 45th, ... 56th ... dates of the original sequence.

Examples

			The first palindromic date in MMDDYYYY format after 'Jan 01 1000' is a(1)=10011001 (= 'Oct 01 1001' = 'Jan 01 1000' + A210893(1) days);
The second palindromic date in MMDDYYYY format after 'Jan 01 1000' is a(2)=1011010=01011010 (= 'Jan 01 1010' = 'Jan 01 1000' + A210893(2) days);
The 47th palindromic date in MMDDYYYY format after 'Jan 01 1000' is a(47)=2022020=02022020 (= 'Feb 02 2020' = 'Jan 01 1000' + A210893(47) days).
The last (331st) palindromic date in MMDDYYYY format before the year 10000 is a(331)=9299290=09299290 (= 'Sep 29 9290' = 'Jan 01 1000' + A210893(331) days).
		

Crossrefs

Formula

a(n)=MMDDYYYY_date('Jan 1 1000' + A210883(n)).
n-th date after 'Jan 1 2000' = a(43+n).
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