The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A252827 Number of nX7 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down 1
 42, 729, 10761, 125892, 1165921, 8807722, 55960651, 306796310, 1481748658, 6411737114, 25203579317, 91037124979, 305083525901, 956286103952, 2823092600299, 7895877354183, 21029532417878, 53571661955209 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 7 of A252828 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (491/510909421717094400)*n^21 + (491/4054836680294400)*n^20 + (31237/4561691265331200)*n^19 + (16931/72754246656000)*n^18 + (6860417/1280474741145600)*n^17 + (5620079/62768369664000)*n^16 + (28238557/24715045555200)*n^15 + (460207/39626496000)*n^14 + (1996189759/20542375526400)*n^13 + (9849852413/14485008384000)*n^12 + (262128023/65840947200)*n^11 + (23507656471/1207084032000)*n^10 + (126607207245823/1581762915532800)*n^9 + (1573022155907/5706215424000)*n^8 + (887749472755/1129830653952)*n^7 + (43972723546711/23538138624000)*n^6 + (101853364790929/26676557107200)*n^5 + (13152985155929/2020951296000)*n^4 + (11601438763393/1119943843200)*n^3 + (5765297083043/586637251200)*n^2 + (131188073/15519504)*n EXAMPLE Some solutions for n=4 ..0..1..2..2..3..4..4....0..1..2..3..3..4..5....0..1..2..3..3..4..5 ..1..2..3..3..4..5..5....0..1..2..3..4..5..5....1..2..3..3..4..5..5 ..1..2..3..4..4..5..5....1..1..2..3..4..5..5....1..2..3..4..5..5..6 ..2..3..4..5..5..6..6....1..2..3..3..4..5..6....2..3..4..4..5..5..6 CROSSREFS Sequence in context: A159947 A330845 A333113 * A231158 A030197 A225980 Adjacent sequences:  A252824 A252825 A252826 * A252828 A252829 A252830 KEYWORD nonn AUTHOR R. H. Hardin, Dec 22 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 04:21 EST 2021. Contains 349567 sequences. (Running on oeis4.)