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Revision History for A282134

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
First differences of A045876.
(history; published version)
#11 by N. J. A. Sloane at Tue Feb 07 17:54:52 EST 2017
STATUS

proposed

approved

#10 by Michael De Vlieger at Tue Feb 07 09:08:32 EST 2017
STATUS

editing

proposed

#9 by Michael De Vlieger at Tue Feb 07 09:08:28 EST 2017
MATHEMATICA

Differences@ Table[Total[FromDigits /@ Permutations@ IntegerDigits@ n], {n, 81}] (* Michael De Vlieger, Feb 07 2017, after T. D. Noe at A045876 *)

STATUS

proposed

editing

#8 by Altug Alkan at Mon Feb 06 16:31:21 EST 2017
STATUS

editing

proposed

#7 by Altug Alkan at Mon Feb 06 16:25:44 EST 2017
COMMENTS

See also graph scatterplot of this sequence.

#6 by Altug Alkan at Mon Feb 06 16:24:13 EST 2017
DATA

1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 11, 11, 11, 11, 11, 11, 11, -88, 11, -11, 33, 11, 11, 11, 11, 11, 11, -88, 11, 11, -22, 44, 11, 11, 11, 11, 11, -88, 11, 11, 11, -33, 55, 11, 11, 11, 11, -88, 11, 11, 11, 11, -44, 66, 11, 11, 11, -88, 11, 11, 11, 11, 11, -55, 77, 11, 11, -88, 11, 11, 11, 11, 11, 11, -66, 88, 11, -88, 11

#5 by Altug Alkan at Mon Feb 06 16:22:36 EST 2017
DATA

1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 11, 11, 11, 11, 11, 11, 11, -88, 11, -11, 33, 11, 11, 11, 11, 11, 11, -88, 11, 11, -22, 44, 11, 11, 11, 11, 11, -88, 11, 11, 11, -33, 55, 11, 11, 11, 11, -88, 11, 11, 11, 11, -44, 66, 11, 11, 11, -88, 11, 11, 11, 11, 11, -55, 77, 11, 11, -88, 11, 11, 11, 11, 11, 11, -66, 88, 11, -88, 11, 11, 11, 11, 11, 11, 11, -77, 99, -88, 11

#4 by Altug Alkan at Mon Feb 06 16:19:38 EST 2017
COMMENTS

See also graph of this sequence.

#3 by Altug Alkan at Mon Feb 06 16:17:04 EST 2017
LINKS

Altug Alkan, <a href="/A282134/b282134.txt">Table of n, a(n) for n = 1..10000</a>

KEYWORD

base,easy,sign,changed

#2 by Altug Alkan at Mon Feb 06 16:06:37 EST 2017
NAME

allocated for Altug AlkanFirst differences of A045876.

DATA

1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 11, 11, 11, 11, 11, 11, 11, -88, 11, -11, 33, 11, 11, 11, 11, 11, 11, -88, 11, 11, -22, 44, 11, 11, 11, 11, 11, -88, 11, 11, 11, -33, 55, 11, 11, 11, 11, -88, 11, 11, 11, 11, -44, 66, 11, 11, 11, -88, 11, 11, 11, 11, 11, -55, 77, 11, 11, -88, 11, 11, 11, 11, 11, 11, -66, 88, 11, -88, 11, 11, 11, 11, 11, 11, 11, -77, 99, -88, 11

OFFSET

1,9

FORMULA

a(n) = A045876(n+1) - A045876(n).

EXAMPLE

a(11) = 22 because A045876(12) - A045876(11) = (12 + 21) - 11 = 22.

PROG

(PARI) A045876(n) = {my(d=digits(n), q=1, v, t=1); v = vecsort(d); for(i=1, #v-1, if(v[i]==v[i+1], t++, q*=binomial(i, t); t=1)); q*binomial(#v, t)*(10^#d-1)*vecsum(d)/9/#d}

a(n) = A045876(n+1) - A045876(n);

CROSSREFS

Cf. A045876.

KEYWORD

allocated

easy,sign

AUTHOR

Altug Alkan, Feb 06 2017

STATUS

approved

editing